At Maple High, the cost to attend special events depends on whether a student has purchased a $10 discount card. Option A: The student buys a discount card. The cost is $5 per event. Option B: The student does not buy a discount card. The cost is $7.50 per event.
Answers
Answer:
a. See the attached picture for the graph and the excel file for how the graph is drawn.
b. The students at Maple High should choose Option A when attending more than 4 events; but they should choose Option B when attending less than 4 events
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
At Maple High, the cost to attend special events depends on whether a student has purchased a $10 discount card.
Option A: The student buys a discount card. The cost is $5 per event.
Option B: The student does not buy a discount card. The cost is $7.50 per event.
a. Graph the relationship between total cost and number of events for each option.
b. Determine the condition under which the students at Maple High should chose each option.
The explanations to the answers is now given as follows:
Let x represent the number of events and y represents the total cost.
Options A and B can therefore be written as follows:
Option A: y = 5x + 10 ……………………………. (1)
Option B: y = 7.5x ……………………………….. (2)
a. Graph the relationship between total cost and number of events for each option.
Note: See the attached picture for the graph and the excel for how the graph is drawn.
In the excel, we assume figures for x from 1 to 10 and then calculate the associated y using equations (1) and (2) above
Also, the number of events (x) is on the horizontal axis while the total cost (y) is on the vertical axis.
The graph for Option A is the blue one while the graph for Option B is the red one.
b. Determine the condition under which the students at Maple High should chose each option.
From the graph in the picture and the attached excel file, the total costs (y) for each of Options A and B ar equal when the number of events (x) is equal to 4.
It can bee observed that when the number of events (x) is greater than 4, the total cost (y) of Option A is less than the total cost (y) of Option B. Under this condition, Option A should be chosen.
On the other hand, when the number of events (x) is less than 4, the total cost (y) of Option A is greater than the total cost (y) of Option B. Under this condition, Option B should be chosen.
Therefore, the students at Maple High should choose Option A when attending more than 4 events; but they choose Option B when attending less than 4 events.
Related Questions
Write two expressions with unlike denominators whose sum is x-3/x+2, I need help it is confusing for me.
Answers
Answer:
[tex]\displaystyle A=\frac{x-2}{x+3}[/tex]
[tex]\displaystyle B=\frac{-5}{(x+3)(x+2)}[/tex]
Step-by-step explanation:
We need to find two expressions with unlike denominators what sum
[tex]\displaystyle S=\frac{x-3}{x+2}[/tex]
Let's suppose one of the expressions is:
[tex]\displaystyle A=\frac{x-2}{x+3}[/tex]
Now we subtract S minus A to find the other expression B:
[tex]\displaystyle B=S-A=\frac{x-3}{x+2}-\frac{x-2}{x+3}[/tex]
Multiply the first fraction by x+3 and the second by x+2;
[tex]\displaystyle B=(x+3)\frac{x-3}{(x+3)(x+2)}-(x+2)\frac{x-2}{(x+3)(x+2)}[/tex]
Operating:
[tex]\displaystyle B=\frac{x^2-9}{(x+3)(x+2)}-\frac{x^2-4}{(x+3)(x+2)}[/tex]
Subtracting both fractions with like denominators:
[tex]\displaystyle B=\frac{x^2-9-(x^2-4)}{(x+3)(x+2)}[/tex]
Simplifying:
[tex]\displaystyle B=\frac{-5}{(x+3)(x+2)}[/tex]
Thus the two expressions are:
[tex]\displaystyle A=\frac{x-2}{x+3}[/tex]
And
[tex]\displaystyle B=\frac{-5}{(x+3)(x+2)}[/tex]
In Erica's math class, students were polled to find out what kind of music they enjoyed. Of the 25 students surveyed, 1/5 said they liked hip-hop, 16% chose country, and the rest chose pop as their favorite type of music. How many students chose pop music?
Answers
1/5 *25 is 5
To figure out how many students liked country, you do
16%*25 which is 4
25-4-5 is 16
So, 16 students like pop music
brainliest for correct answer A' is (4,-8). Rotate the point 180 Counter clockwise and translate it left 3 and up 9.
Answers
Answer:
(-7,17)
Step-by-step explanation:
(4,-8) turns into (-4,8)
go left by 3 (-7,8)
go up by 9 (-7,17)
Abag of peanuts is 5 times as heavy as a bag of sunflower seeds. The bag of peanuts
also weights 920 grams more than the bag of sunflower seeds. What is the total weight
in grams for the bag of peanuts and the bag of sunflower seeds?
Answers
Answer:
5s=p
s+920=p
5s=s+920
*subtract s from both sides*
4s=920
*divide 4 from both sides*
s=230
230*5=1150
The bag of sunflower seeds weighs 230 grams and the bag of peanuts weighs 1150 grams.
9514 1404 393
Answer:
1380 grams
Step-by-step explanation:
The ratio of weights is ...
peanuts : sunflower seeds = 5 : 1
Then the difference in weights is ...
5 - 1 = 4 . . . . ratio units
The sum of weights is ...
5 + 1 = 6 . . . . ratio units
That is the sum of the weights related to the difference of weights is ...
sum : difference = 6 : 4 = 3 : 2
So, the total weight of the two bags is 3/2 times the difference in their weights:
total weight = (3/2)(920 grams) = 1380 grams
Determine and state whether quadrilateral ABCD is a parallelogram.
Plzzz helpp!!!
Answers
I need the answer to this
Answers
Answer
5/3-i
Step-by-step explanation:
A 2-column table with 4 rows. Column 2 is labeled Hours x with entries 1, 2, 3, 4. Column 2 is labeled Dollars y with entries 1.25, 2.50, 3.75, 5. On a coordinate plane, a line goes through (1, 1.25) and (4, 5).
The models represent a real-world problem. Select the statements that describe the problem. Select all that apply.
The two variables are dollars and hours.
The two variables are 1 and $1.25.
The correct equation is y = 1.25x.
The correct equation is y = 1x.
Melissa charges $1.25 an hour to pet-sit.
Melissa charges $1 more than the number of hours she pet-sits.
Answers
The two variables in this problem are dollars and hours
Melissa charges $1.25 per hour to pet-sit.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The table and the given points on the coordinate plane provide information about the relationship between the number of hours of
pet-sitting (x) and the amount of money earned (y) by Melissa, who charges a fixed rate of $1.25 per hour for pet-sitting.
The equation of the line passing through the points (1, 1.25) and (4, 5) can be found by using the slope-intercept form:
y - y_1 = m (x - x_1),
where m is the slope and (x_1, y_1) is a point on the line.
Using the two given points, we have:
m = (y_2 - y_1)/(x_2 - x_1)
= (5 - 1.25)/(4 - 1)
= 1.25
y - 1.25 = 1.25 (x - 1)
y = 1.25x - 0.75
This means that for each additional hour of pet-sitting, Melissa earns an additional $1.25.
Therefore,
The two variables in this problem are dollars and hours
Melissa charges $1.25 per hour to pet-sit.
Learn more about coordinates here:
https://brainly.com/question/13118993
#SPJ3
Answer:
The two variables are dollars and hours. The correct equation is y = 1.25x. Melissa charges $1.25 an hour to pet-sit. or 1,3,5
Star is buying mixed nuts by the pound. For every 8 pounds of mixed nuts she buys, she pays 20 dollars. How much does 1 pound of mixed nuts cost?
Answers
Answer:
2.5 bucks:)
Step-by-step explanation:
Raul Buys a fancy new TV on sale for $600 the original price of the TV was $899 what is the percent savings
Answers
Answer:
33.26% savings.
Find the slope and type the correct code.
Answers
Answer:
-5, 9, - 1/3, 3
Step-by-step explanation:
a.) (-5, 28) ; (-4, 23)
(23 - 28) / (-4 - (-5))
-5 / 1
= - 5
b.) (-3, - 27) ; (1, 9)
(9 - (-27)) / (1 - (-3))
(9 + 27) / (1 + 3)
36 / 4
= 9
C.)
(1 - 0) / (0 - 3)
1 /-3
-1/3
D.) (-5, - 7) ; (-4, - 4)
(-4 - (-7)) / (-4 - (-5))
(-4 + 7) / (-4 + 5)
3 / 1
=3
which table of values can be defined by the function y = 4x - 2
Answers
Answer:
x y
-4 -18
-2 -10
0 -2
2 6
4 14
Step-by-step explanation:
3/8 ÷ 2/3 and express the answer in simplest form
Answers
Answer: 9/16
Step-by-step explanation:
The sequence 200, 100, 50, 25, ... has a common ratio of
Answers
Answer:
200/2 = 100
100/2 = 50
50/2 = 25
Everything is being divided by two
Answer:
the correct answer is 1/2
Step-by-step explanation:
Suppose you buy ticket for out of a lottery of 1000 tickets where the prize for the one winning is to be 800. How much money do you take home (after paying for it)?
Answers
the answer to the question 2. Suppose you buy a ticket for $6 out of a lottery of 1000 tickets where the prize for the one winning is to be $800. How much money do you take home (after paying for it)? is -$5.20
The expression c-0.25c can be used to find the cost of an item on sale for 25% off.Which expression below is equivalent to c-0.25c?
A)0.25c
B)0.75c
C)1.25c
D)0.75
Answers
Answer:
B) 0.75c
1c-0.25=0.76c
2=400 solve this equation.
Answers
Answer: 200
Work: If the equation is 2x = 400, you just divide 2 on both sides, meaning the answer is x = 200
7. Here is a polygon:
00
А A
a. Draw the dilation of ABCD using center A and scale factor Label the dilation
EFGH
b. Draw the dilation of ABCD with center D and scale factor , Label the dilation
IJKL
C. Show that EFGH and I JKL are similar
plz answer quick i need it now whoever has the Correct answers i will give a brainliest
Answers
Answer:
21
Step-by-step explanation:
a student studying public policy created a model for the population of Detroit which decreased 2.09% over a year in 2010 there was 730000 residents assuming this trend continues each year, write a function for p, the population t years after 2010
Answers
Answer:
KF
Step-by-step explanation:
Solve the following problems. Remember that all reasoning must be explained, and all steps of math work must be shown!
Topic: Perpendicular to Chord Property
Answers
Answer to Question 1:
<OGE (also m˚) = 19˚
Step-by-step explanation:
We know that all the angles in a triangle add up to 180˚.
Given:
<EGO = 71˚
<OEG = 90˚ (the angle forms a right angle because line EG is perpendicular to point O)
To Solve:
⇒ Since we know two angles, we should know the third; and they all add up to 180˚. This can be written as:
71˚ + 90˚ + <OGE = 180˚
⇒ Solve for <OGE by simplifying:
161˚ + <OGE = 180˚
⇒ Subtract 161˚ from both sides to get:
161˚ − 161˚ + <OGE = 180˚ − 161˚
⇒ Isolate <OGE:
<OGE = 19˚
Answer: <OGE (also m˚) = 19˚
Answer:
<OAC (also x˚) = 50˚
<OCB (also y˚) = 90˚
Step-by-step explanation:
–How to solve for <OCB (also y˚)
Just by looking, you can already tell that <OCB equals 90˚ because it forms a right angle.
Answer: <OCB (also y˚) = 90˚
–How to solve for <OAC (also x˚)
Given (and what we can already know):
<AOC = 40˚
<OCA = 90˚
⇒ Reason: Line AB is a straight line and a straight line equals 180˚. We already know on side of the line because <OCB is 90˚, and so the other side, <OCA, should also be 90˚, since the both sides that make up the straight line equal 180˚ (90˚ + 90˚ = 180˚). You can also tell that <OCA forms a right angle in the triangle because line AB is perpendicular to point O, and right angles are 90˚.
To Solve:
⇒ Since we know two angles in the triangle, we should know the third; and they all add up to 180˚. This can be written as:
40˚ + 90˚ + <OAC = 180˚
⇒ Solve for <OAC by simplifying:
130˚ + <OAC = 180˚
⇒ Subtract 130˚ from both sides to get:
130˚ − 130˚ + <OAC = 180˚ − 130˚
⇒ Isolate <OAC:
<OAC = 50˚
Answer: <OAC (also x˚) = 50˚
I hope you understand and that this helps with your question! :)
can someone help with this equation?
Answers
Answer:
OK what is equation ??????
Whats The Answer Can you please explain? MATH..
Answers
Answer:
d
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Because the world less than would be subtract.
Hope it was correct I'm so sorry if I wasn't.
Glad I could help tho!
Solve. 45 + (-5) - 4 + 7
A: 45
B: 0
C: -34
D: 43
Answers
45 - 5 - 4 + 7
40 - 4 + 7
36 + 7 = 43
The answer is D. 43
Answer:
D. 43
Step-by-step explanation:
45 + (-5) = 40
40 - 4 = 36
36 + 7 = 43
please find the value of x :)
Answers
Answer:
x = 16
Step-by-step explanation:
90 = x+8+66
x = 90-74
x = 16
Answer:
16
Step-by-step explanation:
:D
Find the lengths of the diagonals of rectangle QRST, if QS=14x+10 and RT=11x+22.
Answers
Answer:4
Step-by-step explanation:
diagonals of a rectangle are equal therefore QS=RT, 14x+10=11x+22, and solve for x to get 3x=12, so x equals 4
There are 12 big fish for ever 16 small fish. That means that there are____ big fish for every 4 small fish. How many?
Answers
Answer:
3 big fish for every 4 small fish
Step-by-step explanation:
Hope this helps and Happy Holidays!
h(x) = x-11
h ( ) =-5
Answers
Add 11 to both sides
x = 6
Solution: h(6) = -5
Answer:
6
Step-by-step explanation:
WILL MARK BRAINLIEST!!!! BRAINLIEST!
Write 206 in base 7
Answers
Answer:
413
Step-by-step explanation:
How many books are on each shelve if there are 64 books on 4 shelves?
Answers
Answer:
In each shelves there are 64/4 books I.e. 16.
How many solutions does the equation have? -2(6x-4)=8-12x.
A. one solution
B. no solution
C. an inifinite number of solutions
D. impossible to determine
Answers
What is the solution to the following proportion?
18/x = 3/2
Answers
Answer:
cross multiply to get 12
Step-by-step explanation:
Answer:
X=12
Step-by-step explanation:
18 x 2 is 36 divided by 3 is 12
you can simplify 18/12 by 6 to get 3/2