The graph represents function 1, and the equation represents function 2:
6
3
2
1
0
0 1
2
3
4
5 6 7 8 9
Function 2
y = 8x + 12
How much more is the rate of change of function 2 than the rate of change of function 1? (4 points)
O 3
O4
O 5

The Graph Represents Function 1, And The Equation Represents Function 2:632100 12345 6 7 8 9Function

Answers

Answer 1

Answer:

Please check the explanation.

Step-by-step explanation:

We know that the slope or rate of change of the function can be:

positivenegativezero, orundefined

Function 1

From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0

so using the slope formula

Rate of change = m = y₂-y₁ / x₂-x₁

Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)

Rate of change = m = 4-4 / 1-0

Rate of change = m = 0/1

Rate of change = m = 0

Thus, the rate of change of function 1 is zero.

Function 2

We know the slope-intercept form of linear equation is

[tex]y = mx+b[/tex]

where m is the rate of change or slope of the function and b is the y-intercept

Given the function

[tex]y = 8x+12[/tex]

comparing with the slope-intercept form i.e. y = mx+b

Therefore, the rate of change of function 2 = m = 8

Conclusion

The rate of change of function 1  = 0

The rate of change of function 2  = 8

as

8 - 0 = 8

Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.


Related Questions

PLS HELP ME
It takes Li 1 hour to drive 65 miles, 2 hours to drive 130 miles, and 3 hours to drive 195 miles. How many miles can he drive in 5 hours?​

Answers

Answer:

310

Step-by-step explanation:

65 x 5

Is this true or false? 0 < -2 Answer fast pls

Answers

Answer:

False

Explanation:

It's actually 0 > -2

Please help if possible due today thank you so so much!!
10points!❤️❤️❤️



A teacher asked her students how many pets they own. Here are the results:

Answers

It’s B, B is the answer

The answer would be B. In the sequence;

0,0,1,1,1,1,2,2,2,3,4,4,8

Zero is mentioned twice, and if you take a glance at the other plots, they all have 3 dots above them, whereas answer choice B has 2 which is what we’re looking for.

Please help solve this​

Answers

Answer: ∞

Step-by-step explanation: First, find the indefinite integral F (x), and then evaluate F (∞)–F(– ∞).

Helllppppppppppppppppp

Answers

Answer:

B) 5

Step-by-step explanation:

a(x)=1/9(90-x)

x=45

1/9(90-45)

1/9(45)

5

Hope this helps plz hit the crown :D

Answer:

The value of h(45) ⇨ 5  | B Choice.

Step-by-step explanation:

[tex]h(x)=\frac{1}{9}(90-x)[/tex]

⟺ Find the value of h(45), substitute x = 45 in h(x)

[tex]h(45) = \frac{1}{9}(90-45)\\h(45)=\frac{1}{9}(45)\\h(45)=5[/tex]

Thus, the answer is 5.

estimate the quotients 123.8 divide by 62=

Answers

Answer:

Step-by-step explanation:

5. The weight of 1 bag of sugar is 12.5 kg. What is the weight of 15 such bags?

Answers

Answer:

187.5

Step-by-step explanation:

Answer:

187.5

Step-by-step explanation:

The reason is because I just did the math and I am pretty sure this is right please give me brain list

4(x-6y) i really need help on this!

Answers

Answer:

you should simply distribute it 4x -24y that mean you should × 4 by x and 4by 6y then you will get the answer

81x^4 write as a square

Answers

Answer:

a square what

Step-by-step explanation:

Answer:

(9x^2)^2

Step-by-step explanation:

81 root is 9

Solve
20 + 6k - 14+k

Answers

Answer:

7k+6 is your answer to the question

20+6000-14000=7,980..........
.

What is 8x-7-2x-2 simplified

Answers

Answer:

6x-9

Step-by-step explanation:

Answer:

6x - 9

hope this helped!! :D

Of the relations graphed below, three are functions and one is not.
Which of the relations is NOT a function?

a. Graph A
b. Graph B
c. Graph C
d. Graph D​

Answers

Answer:

Graph B

Step-by-step explanation:

the line is at some point perpendicular to the y-axis, there is no unique y value for this x value, which contradicts the definition of a function.

Find the area of the triangle.
PLEASE HELP ASPA

Answers

1/2abSinC
1/2*8*5*sin(140)=12.9cm
* means multiply

Answer:

(B). 12.9 cm²

Step-by-step explanation:

a = 8 cm , b = 5 cm , c ≈ 12.259 cm

P = 25.259 , s = P/2 ≈ 12.63

[tex]A_{ABC}[/tex] ≈ 12.856 ≈ 12.9 cm²

In kite ABCD, BE = –x + 6 and ED = 0.5x. Determine the value of x in the kite shown. Question 2 options: A) x = –12 B) x = –3 C) x = 4 D) x = 9

Answers

Answer:

4

Step-by-step explanation:

–x + 6 = 0.5x

–(4) + 6 =.5(4)=2

-x-.5x=-6

-1.5x=-6

X=4

Answer:

x=4

Step-by-step explanation:I took the test

1 What is the equation of a line that has a
slope of 2 and passes through point (-6,
3)?
A y = 2x + 15
By = 2x + 9
C y = -3x + 9
Dy = -6x + 3

Answers

The answer is either A or B.

.........................

Answers

Answer:

Good thanks for points hehe

One equation in a system of linear equations is y=2x+1

a. write a second equation so that (1,3) is the only solution of the system

b. Write a second equation so that the system has infinitely many solutions

c. Write a second equation so that the system has no solutions

would appreciate answers

Answers

Answer:b

Step-by-step explanation:

Help me on this questionnnn

Answers

Answer: 2,3,5

Step-by-step explanation:

Please help soon! Thanks! Solve for x

Answers

Answer:

[tex]x=30^{\circ}[/tex]

Step-by-step explanation:

Looking at [tex]\triangle LMN[/tex]:

[tex]\angle NML = 180 - (90+45)[/tex] (angle sum of triangle is [tex]180^{\circ}[/tex])

[tex]=45^{\circ}[/tex]

Looking at [tex]\triangle KNM[/tex]:

[tex]\angle KNM = 180-105[/tex] (angle of straight is [tex]180^{\circ}[/tex])

[tex]=75^{\circ}[/tex]

[tex]\angle KNM + \angle NKM + \angle KMN = 180[/tex] (angle sum of triangle is [tex]180^{\circ[/tex])

[tex]75+2x+45 = 180[/tex]

[tex]2x+120 = 180[/tex]

[tex]2x=60[/tex]

[tex]x=30^{\circ}[/tex]

Hope this helps :)

Ruben is touring New York City with his family. They want to visit the Empire State Building, Central Park, and Times Square before their dinner reservations at 8:00 P.M. They want to spend 1 hour and 30 minutes at the Empire State Building, 3 hours in Central Park, and 45 minutes in Times Square. What is the latest time Ruben's family can start their tour in order to make it to dinner on time?

Include A.M. or P.M. in your answer Please help ASAP!!!

Answers

Answer: 2:45 pm

Step-by-step explanation:

Find the length of the tour;

90 minutes at Empire State

180 minutes in Central Park

45 minutes in Times Square

= 90 + 180 + 45

= 315 minutes

= 5.25 hours

= 5 hours 15 minutes

Dinner Reservation is at 8.

Latest time they can start is;

= 8 - 5.25 hours

= 2.75

= 2 hours 45 minutes

= 2:45 pm

28/x+4=11 Please help soon

Answers

Answer:

how soon tho

Step-by-step explanation:x= 4

Tina's plans to make wooden fences To put heard to triangle art pieces In

How much wood would she need for triangle DFG

Answers

Answer:

54 feet.

Step-by-step explanation:

Consider AB and DF. FD is 3 times the size of AB

So if AC = 7 then DG = 3* 7 = 21

The total Perimeter = 15 + 18 + 21 = 54 feet

Answer:

well if the triangle are both equal comparisons just ones a different size then the unknown hunches of the bigger side would probably be 21 so if u add the 15 + 18 + 21 = 54 I think sorry if I'm wrong tho

Slope for (2,1) (-2,3)

Answers

Answer:

the slope is 1/2 :)

Step-by-step explanation:

Answer:

1/3 or 1/-2

Step-by-step explanation:

You order pizza on Door Dash. It costs $39. Sales tax is 7% and you want to leave 20%
for tip. What is the total cost including the sales tax and tip? (HINT: regular price + sales
tax + tip = total cost

Answers

Answer:

$47.4

Step-by-step explanation:

prize = $39

sales tax = $7

total cost = x

tip = 20% of the tax

tip = 20% of 7

=$ 1.4

total cost = 39 +7+ 1.4

= $47.4

Answer:

$49.53

Explanation:

Convert  7 %  to a decimal.

0.07  x 39

Multiply  0.07  by  39 .

2.73

Repeat, but with 20%.

7.8

Add the tax and tip to the original price:

39 + 2.73 = 41.73

41.73 + 7.8 = $49.53

A druggist needs to prepare 100ml. of a 10% solution. She has available only a 5% and a
25% solution. How much of each should she use to prepare the desired solution?

Answers

Answer:

25 milliliters of 25% solution and 75 milliliters of 5% solution should be used.

Step-by-step explanation:

Since the druggist has to prepare 100 ml of a 10% solution, but has only 5% and 25% solutions, to determine the proportion of each solution that he must use to prepare the solution with the desired percentage, it is necessary to perform the following calculation:

25 x 1 + 5 x 0 = 25

25 x 0.9 + 5 x 0.1 = 23

25 x 0.8 + 5 x 0.2 = 21

25 x 0.7 + 5 x 0.3 = 19

25 x 0.6 + 5 x 0.4 = 17

25 x 0.5 + 5 x 0.5 = 15

25 x 0.4 + 5 x 0.6 = 13

25 x 0.3 + 5 x 0.7 = 11

25 x 0.2 + 5 x 0.8 = 9

Therefore, the percentage that the druggist must use will be between 20% and 30% of the 25% solution, and between 70% and 80% of the 5% solution, that is:

25 x 0.25 + 5 x 0.75 = 10

Therefore, the druggist should use a 25% solution at 25%, and a 75% solution at 5%: Thus, since 100 x 0.25 is equal to 25, 25 milliliters of 25% solution and 75 milliliters of 5% solution should be used.

Part A
If she spends 3x + 5 dollars on the first order of light bulbs, which of the following represents how much she spends on the second order?
A. 10x + 18
B. 4x + 8
C. 21x + 65
D. 10x + 8
Part B
If the store owner spent a total of $90 on both orders, how much does a box of light bulbs cost in dollars?

Answers

Answer:

B

11 dollars

Step-by-step explanation:

7x+13 is the sum of the two order

you know that one order is 3x+5, so if you subtract it from the total you get the other order

7x+13-(3x+5) =7x+13-3x-5 = 4x+8

if he spent 90 dollars in total then we can say that

7x+13 = 90

7x=77

x=11

11 dollars per box

Step-by-step explanation:

The angle of elevation from a pothole to the top of a lamp post is 33°
33°. The horizontal distance from the pothole to the base of the lamp post is 44 feet. How tall is the lamp post?

a) 28.6 ft
b) 23.9 ft
c) 67.8 ft
d) 55 ft

Answers

Answer:

a) 28.6ft

Step-by-step explanation:

tan(33)= x/44

x/44= tan(33)

x/44=.65

x= 44* .65

x= 28.6

HELP ASAP PLEASE!!! senora need 300 grams of a spice mix to put in her pasta dish. The store sells the spice mix by the ounce. there are approximately 28.35 grams in 1 ounce how many ounces of spice mix does senora need, rounded to the nearest hundredth?

Answers

Answer: 3,969

Step-by-step explanation:

multiply 140x28.35

Find the distance between the points. Round your answer to the nearest tenth. (6, -1) and (-2,-6)​

Answers

Answer:

9.433981

Step-by-step explanation:

d=(−2−6)2+(−6−(−1))2−−−−−−−−−−−−−−−−−−−−−√  

d=(−8)2+(−5)2−−−−−−−−−−−−√

d=64+25−−−−−−√

d=8–√9

d=9.433981

Write the word or phrase that best completes each statement or answers the question.

Answers

Answer:

She can give it in 1- ways

Other Questions
Jayden used 20 color ties to make a design above his stove 15 out of 20 of his tires were green what is an equivalent fraction for the green tie Twelve of the 28 students in a class have a dog. What is the ratio of students who have a dog to students who do not? (plsss help meh.) Describe how you could find the density of a gold crown. 2 The triangle and the rectangle shown below have equal perimeters. Find the measures of the side lengths of the triangle. (Figures not drawn to scale) 4(x-1) *+8 3x-1 5x + Find the slope of the line that passes through the points (2,-4) and (6,12) What is negative 2 3/8 as a decimal? A quantity with an initial value of 120 decays exponentially at a rate of 9.5% every 7hours. What is the value of the quantity after 3.25 days, to the nearest hundredth? double checkingi think a and h but not sure what is correct here ? Laila baked 24 brownies and 36 cookies for a bake sale. She wants to put the same number of cookies and the same number of brownies in each bag. What is the greatest number of bags she can make?Your answer:4 bags72 bags6 bags12 bags What is unique regarding the abdominal muscle when is compared to other muscle in the body?(A) it is a very large muscle (B) it does not develop easily (C) it can move the body either from the ribcage or the pelvis.(D) it can get injured easily if you perform a lot os repetitions.(E) none of the above Robin, who is self-employed, contributes $4500/year into a Keogh account. How much will he have in the account after 30 years if the account earns interest at the rate of 2.5%/year compounded yearly? Q. Penelope is told to clean all the windows at her house. After cleaning 9 windows her job is30% complete. How many windows does she clean in all? what is a wedgie qwertyuiop NEED ASAP HEP WILL MAKE BRAILEST Is the following relation a function? Write a number that when rounded to the nearest TENTHS is 382.9 Which Enlightenment idea arose during the Scientific Revolution? Natural laws govern the world. All humans have individual value. Printing presses can help spread ideas. Freedoms do not come from government. Choose the correct answer.What is the meaning of the word el avin?O the airplaneO the shipO the carO the bus Identify the slope and y intercept of the function y= -5x + 4.A. The slope is 4.The y-intercept is (0,5).B. The slope is 4.The y-intercept is (0, -5).C. The slope is -5.The y-intercept is (0,4).D. The slope is 5.The y-intercept is (0,4).