Amina recently moved and got a new job. The quickest way to get to work is to take a
freeway that charges a toll. There are two options for paying the tolls.
Option A: No monthly fee, each trip on the tollway is $2.80.
Option B: $30 monthly fee, each trip on the tollway is half-priced at $1.40.
a. Write a linear model for Option A showing the total cost, C, in dollars, for x trips on
the tollway.
b. Write a linear model for Option B showing the total cost, C, in dollars, for x trips on
the tollway.
c. How many trips on the tollway are needed for Option B to be cheaper? Show your
work or explain how you found this number.
d. If Amina plans to travel to and from work 5 times a week which option, should she
purchase? (assume a month has 4 weeks) Show your work and explain in words why
you choose the option that you choose.

Answers

Answer 1

22 trips on the tollway are needed for Option B to be cheaper. Thus, if Amina plans to travel to and from work 5 times a week (20 round trips per month, that is, 40 trips), she must choose Option B.

Since Amina recently moved and got a new job, and the quickest way to get to work is to take a freeway that charges a toll, and there are two options for paying the tolls:

Option A: No monthly fee, each trip on the tollway is $ 2.80.

Option B: $ 30 monthly fee, each trip on the tollway is half-priced at $ 1.40.

To determine how many trips on the tollway are needed for Option B to be cheaper; y, if Amina plans to travel to and from work 5 times a week, which option should she purchase; the following calculation must be performed:

Option A = 2.80X Option B = 30 + 1.40X 2.80 x 20 = 56 30 + 1.40 x 20 = 58 2.80 x 25 = 70 30 + 1.40 x 25 = 65 2.80 x 24 = 67.2 30 + 1.40 x 24 = 63.6 2.80 x 22 = 61.6 30 + 1.40 x 22 = 60.8

Therefore, 22 trips on the tollway are needed for Option B to be cheaper. Thus, if Amina plans to travel to and from work 5 times a week (20 round trips per month, that is, 40 trips), she must choose Option B.

Learn more about maths in https://brainly.com/question/25806839


Related Questions

PLEASE HELP!!!!!!!!!
Which of the following are properties of parallelograms? Select all that apply!
Consecutive angles are congruent.
One pair of parallel sides.
Consecutive angles are supplementary.
Both pairs of opposite sides are congruent.
Both pairs of opposite of angles are congruent.

Answers

Answer:

If I have to guess, I’ll say

Consecutive angles are congruent.

One pair of parallel sides.

Consecutive angles are supplementary.

Step-by-step explanation:

if I’m wrong, I’m sorry. If I’m right, mark me brainlest!

Answer:

Consecutive angles are supplementary.

Both pairs of opposite of angles are congruent.

Both pairs of opposite sides are congruent.

Step-by-step explanation:

I took the quiz and this was the correct answer.

What is the answer to this problem

Answers

Answer:

Y=[tex]\frac{2}{3}[/tex]x+4

Step-by-step explanation:

Slope formula is y=mx+b

This is because the slope is 2 over 3: “rise over run”

Slope = m so: y=[tex]\frac{2}{3}[/tex]X+b

We need to find be, that easy because to find b, we have to look at the y axis. Were does the line intercept the y axis?

It is at (0,4) or just simply “4”

Now plug in b=4 into the equation:

y=[tex]\frac{2}{3}[/tex]X+4

Find the slope of
(7,-12) (1,3)
it's not -2/5 or 2/5 or 15/6
literally, if you solve this for me my depression will be no more
its been 3 days OF THIS ONE QUESTION
please, and thank you

Answers

Answer:

(8,-9)

Step-by-step explanation:

using the principle of vectors, you match each number to their coordinates and add them

so we have (7+1,-12+3)

which is equal to (8,-9)

Answer:

5/2

Step-by-step explanation:

Formula: y2-y1/x2-x1

Labeled:

(1,3)

1 = x2

3 = y2

(7,-12)

7= x1

-12 = x1

In order:

3+12 / 1-7

=15/6

which is simplified to 5/2

so when trying to find the slope of two points you want to use a certent formula which is y2 minus y1 over x2 minus x1 and if the x1 or y1 is negative it will be plus.

first you need to label them and then put them in the order you labeled them to the formula. After subtract or add and if you can simplify it then simplified it to get your answer.

this is the best way I can explain it, sorry

:(

When a liquid turns into a solid, which of the following also changes?

A: chemical composition

B: size of molecules

C: Mass

D: energy

Pls help

Answers

Answer:

D. Energy.

Step-by-step explanation:

Liquid is at a higher energy state than a solid.

When the liquid turns into a solid, then the energy gets changed. Then the correct option is D.

What is solidification?

When a liquid's temperature drops below its freezing point, a phase shift called freezing occurs, converting it from a liquid to a solid. According to the widely accepted definition, freezing refers to the liquid content of a substance changing from a liquid to a solid during a cooling process.

When a liquid's molecules slow down enough to attract one another into permanent positions as a solid, this process is known as freezing.

The term "single solidification point" refers to the temperature at which an alloy transitions from a completely liquid state to a fully solid state without traveling through a partially liquid state, meaning that no additional cooling is necessary to create a fully solid alloy.

The energy is altered as a liquid changes into a solid. D is the right answer in this case.

More about the solidification link is given below.

https://brainly.com/question/392491

#SPJ2

If ∆ ≅ ∆, = 5 − 4 and = 8 − 10, find XZ.
Please show work!

Answers

Answer:

6

Step-by-step explanation:

Two triangles are congruent so we can use the similarity ratio to find the length of XZ

8x - 10 = 5x - 4 export like terms to the same side of equation

8x - 5x = 10 - 4

3x = 6 divide both sides by 3

x = 2 and so the length of XZ is 8*2 - 10 = 6

Write the word sentence as an equation. Then solve.

The sum of a number a and 12 is -6.

Answers

Answer:

a + 12 = -6 , a = -18

Step-by-step explanation:

Hi there!

the first half of the statement says “the *sum* of a number a and 12, so we can write that as a+12. The second half of the statement says that the sum of both of those values is -6, meaning that a + 12 = -6. Knowing this, we can now solve. In order to isolate a, subtract 12 from both sides of the equation. You will be left with a = -18.

Hope this helps!

Jordan has a part-time job which pays $75 a week. He has already saved $55 toward the purchase of a $400
could use to find the minimum number of weeks Jordan must work to have enough money to buy the iPhone

Answers

Answer:

5 weeks

Step-by-step explanation:

The amount of money he has to earn in order to buy the phone is: 400-55 = 345( dollars)

He gets 345 dollars in: 345÷75= 4 weeks and remains 45 dollars

So he needs to work for 1 more week to have enough money to buy the phone

So he needs to work at least 5 weeks

Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !

Answers

Answer:

answer is below

Step-by-step explanation:

ok so i kinda want u to learn so im just gonna tell you how to do them!

for the first set, what you do is put (y2-y1)/(x2-x1). for example, (16-6)/(3-18) is the slope.

for the second set, every problem is in y=mx+b form, where m is the slope. so for example in 37 the slope is 1/2

for the third set, use midpoint formula. x is (x1+x2)/2, and y is (y1+y2)/2

hope this helps!

Please answer the file question.

Answers

Answer:48 16 = ?

27 9 = 9

60 20 - 10

Step-by-step explanation:

What is the range of y = sin x?
A. In
72 T
o
B. -1Sys1
c. -1SIS 1
o
D. All real numbers

Answers

Answer:

See below

Step-by-step explanation:

The function [tex]f(x)=sin(x)[/tex] oscillates between -1 and 1, so the range is [tex]-1\leq x\leq 1[/tex].

Need help asap please !!!

Answers

The answer would be M= 1/4

14. What's the least common denominator of 3/4, 4/5, and 2/3?
A. 60
B. 20
C. 15
D. 12

Answers

im pretty sure it's 60

The triangle and rectangle have the same perimeter.find the value of x.

Answers

Answer:

X=2

Step-by-step explanation:

Triangle

3x+18

Rectangle

6x+12

Same perimeter:

3x+18=6x+12             //-12

3x+6=6x                   //-3x

6=3x                         //:3

2=x

Answer:

x = 2

Step-by-step explanation:

Perimeter of triangle = a + b + c

Perimeter of rectangle = 2(l + b)

=> x + 5 + x + 6 + x + 7 = 2(2x - 1 + x + 7)

=> 3x + 18 = 2(3x + 6)

=> 3x + 18 = 6x + 12

=> 3x - 6x = 12 - 18

=> -3x = -6

=> x = -6/-3

=> x = 2

Thomas finished the 200-meter race in 25.7 seconds while Mikah finished in 28.1 seconds. How much faster did Thomas run the race than Mikah?

Answers

Answer:

2.4 seconds

Step-by-step explanation:

We can use subtraction to solve this problem.

28.1 - 25.7 = 2.4 seconds

[] Fun Fact: For men, the world record in the 200-meter dash is by Usain Bolt with a time of 19.30 seconds

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

In circle L with mZKLM 74 and KL = 10 units, find the length of arc KM.
Round to the nearest hundredth.

Answers

Step-by-step explanation:

happy to you are you happy

For every 2 books that Tom buys, he can buy 3 magazines. If he pays $60 fo 4 books and 4 magazines, how much does he have to pay for each book?​

Answers

Answer:

Price of book is [tex]9\$[/tex]

Step-by-step explanation:

Let the price of book be [tex]x[/tex] and price of magazine be [tex]y[/tex]

We have

[tex]2x=3y[/tex]

We also have

[tex]4x+4y=60[/tex]

[tex]2\times 2x+4y=60\\\\2\times3y+4y=60\\\\10y=60\\\\y=6\\\\2x=3\times6\\\\x=9\$[/tex]

Price of book is [tex]9\$[/tex]

A small toy rocket is launched from a 24-foot pad. The height (h, in feet) of the rocket t seconds after
taking off is given by the formula
h = - 2t^2+ 2t + 24.
How long will it take the rocket to hit the
ground?

Answers

Answer:

4 seconds

Step-by-step explanation:

Since we want to know the time when the height is 0, we can rewrite the problem as [tex]0=-2t^2+2t+24[/tex]. From there, we can plug it into the quadratic formula, which gives us [tex]\frac{-2-\sqrt{4-4(-2)(24)} }{2(-2)}[/tex](Since it's a real-world problem and we have a negative denominator, we won't be using the positive square root). We simplify this to get [tex]\frac{-2-\sqrt{196} }{-4}[/tex], then [tex]\frac{-2-14}{-4}[/tex]. Finally, we can calculate this to be 4 seconds.

HELP

HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.

THX

100 points on the line

Answers

Answer:

x = 7 & y = 8

Step-by-step explanation:

We know that

Mean = Sum of terms/Total terms

=> Mean = 4 + 6 + x + y + 10/5

=> Mean = 20 + x + y/5

Now,

Median = (n + 1)/2

=> Median = (5 + 1)/2

=> Median = 6/3

=> Median = 3rd term = x

So,

x = 20 + x + y/5

x × 5 = 20 + x + y

5x = 20 + x + y

5x - x = 20 + y

4x = 20 + y

Since x and y are in order so,

Possible outcomes will be 7,8 & 9

(7,8) & (8,9) & (7,9)

Taking x = 7 and y = 8

4(7) = 20 + 8

28 = 28

Hence,

x = 7 and y = 8

Answer:

y=7 x=8

Step-by-step explanation: hope you do well in school

help me please!! <33​

Answers

Answer: Choice J

13/20 - 1/2

===================================================

Explanation:

Ignore the big X and the shading for now. This figure has 4 rows by 5 columns of rectangles. So there are 4*5 = 20 little rectangles total. Each little rectangle represents 1 brownie.

Then let's say the shaded region represents the amount of brownies Mary receives. We have 13 rectangles shaded in out of the 20 total. This means 13/20 is the fractional amount Mary gets.

She then eats 10 of the 20 total, so she eats 10/20 = 1/2 of the brownies.

Therefore, we end up with the expression 13/20 - 1/2 to represent the fractional amount that Mary still has that she hasn't eaten yet (which is 3/20).

We can say: 13/20 - 1/2 = 13/20 - 10/20 = 3/20

HELPPPP PLEASEEEEE ​

Answers

I’m not rly sure what it means by flipping the card …. I’m assuming there’s more to this question but if it’s what I think it is the only way this equation will be true is by switching the + Symbol to - (subtraction) which would be 1-2= 3-4 since it would 1=1 making the equation true

10,260 words/minute = words/second

Answers

Answer:

171

Step-by-step explanation:

Please please hurry!!!! Answer this question

Answers

we cant if we dont know the points

What value of c in the equation cx+4y=12 would give the equation a slope of 8? please help me

Answers

Answer:

1cy

Step-by-step explanation:

c(8)+4y=12

8c+4y=12

12cy /12cy=12 /12cy

1cy

A shipment contains 25 defective items and 100 nondefective items. Two items are randomly chosen in succession without replacement. Find the probability that both items are defective. 25) ______ A) B) C) D) E) none of these

Answers

Answer:

non of these because you are a good friend and look at the house to you nanu you nanu to get the house ☺️ to get well and

A liquid mixture of 56 ounces contains 14 ounces of sugar and the rest is water. What is the ratio of swar to water
in the mixture?

Answers

Step-by-step explanation:

Ounces of water = 56 - 14 = 42 ounces

Ratio of sugar to water

56 : 42

8 : 6

4 : 3

4:3, 56:42 in lowest terms is 4:3

How do you multiply fractions? Please explain step by step to get marked

Answers

Answer: 10/3

Step-by-step explanation

2/3x5

2/3x5/1

Now goahead and multiply the top and bottom numbers

A sweatshirt was on sale for 32% off and cost $40.80 without tax. What was the original price of the sweatshirt?

Answers

Answer:

The original price of the sweatshirt was $127.50

Step-by-step explanation:

$40.80 / .32(32%) = $127.50

x^2+2x+8=0, Find x?aaaaaaa

Answers

X= -1 + i square root o7 or -1 - i square root 7.

Help help math math math please

Answers

Answer:

-2) -14

0) -8

2) -2

4) 4

Step-by-step explanation:

Plug in each input for x, and solve for y

Answer: 2) -140) -82) -24) 4

Step-by-step explanation:

Given f(1) = 8 and
f(n) = 3 f(n-1) - 2 then f (4) =

Answers

Answer:

190

Step-by-step explanation:

f(1)=8

f(2)=3f((2-1))-2, f(2)=22

f(3)=3f((3-1))-2, f(3)=64

f(4)=3f((4-1))-2, f(4)=190

Other Questions
What kind of selection occurs in many birds when males that build strong nests and help care for young are chosen by females and mates Solve the inequality 4x - 19 -27 Using the knowledge you have about electricity, what invention would you create to provide electricity for those third world countries who need it? Post a picture of your invention listing the significance. If you have a country specifically in mind this could help please list that country, as well. Need help with this one In general, what is drug use?A.taking over-the-counter medicine more than neededB.the consumption of illegal drugs onlyC.the consumption of legal drugs onlyD.the consumption of legal and illegal drugs what color is my shirt?? PLEASE HELP I FORGOT The mongol conquests of much of Eurasia in the thirteenth century tended to encourage trade along the silk roads primarily by A) opening large new markets for both european and east asian goods in central asiaB)increasing the demand or military supplies needed by the mongol armies that occupied various regionsC)decreasing the risk of bandit attacks and reducing the number of local rulers collecting tribute from trade caravans D)discouraging seaborne trade along the Indian Ocean routes that competed with the silk roads Please Help The Receiver has to hold all the painful, terrible memories so that How do I fully simplify this? Which of the following adaptations helps alpine animals survive the cold winter? a. Reduced lung size b. Low levels of hemoglobin c. Hibernation d. Large legs, ears, and tails. Which of the following conditions is most likely directly linked to tobacco use?A.influenzaB.lung cancerC.pneumoniaD.diabetes PLEASE HELP!Determine the value of X. Mike earned x dollars the first week of his new job. He earned 5% more the second week than the first week. Which expression represents the total amount of money Mike earned for both weeks?1.50x1.50 x1.05x1.05 x2.00x2.00 x2.05x If 3 people share 5 pizzas , how much pizza does each person get A swimmer who can swim in still water at a speed of 4km/h is swimming in a river. the river flows at a speed of 3km/h. calculate the speed of the swimmer relative to the river bank when she swims:- 1. downstream 2.upstream Which are examples of perfectly inelastic collisions? Check all that apply.a baseball bouncing off a batbumper cars bumping off of each othera cue ball hitting an eight ball and stoppinga plane landing on an aircraft carrierrain sticking to a windowtwo train cars coupling together Menciona dos palabras prestadas Write an equation for the graph. pls help me im stuck and i need to pass this lesson At what rate would $1,200 earn $96 in 8 years?