Question

For the graphed function f(x) = (4)x - 1 + 2, calculate the average rate of change from x = 2 to x = 4.

−68

−30

68

30

Answer 1

rg

Answer 2

@AnonymousBeast

Answer 3

@MasonLovesNinjaTurtle

Answer 4

@Hotchellerae21

Answer 5

do u know? @Hotchellerae21

Answer 6

First, substitute both 2 and 4 into the equation to find y. Once you do that, use the slope formula to calculate the rate of change. Do you know what the slope formula is?

Answer 7

no

Answer 8

It is
\[\frac{ y_{2}-y_{1} }{ x_{2}-x_{1} }\]
Did you get the coordinates?

Answer 9

no i havent

Answer 10

Alright, do so, then substitute it into the formula I gave you.

Answer 11

ok

Answer 12

wait but there is no y @AnonymousBeast

Answer 13

You have to find the y value by substituting the x value into the equation and solving.

Answer 14

how do i substitute

Answer 15

Your equation is f(x)=4x-1+2, correct?

Answer 16

yes

Answer 17

Okay, replace x first with 2. Solve, whatever it equals is its y value. Do the same for x=4 afterward.

Answer 18

ok hold on

Answer 19

first one is y=9 and the second is y=17

Answer 20

@AnonymousBeast

Answer 21

Okay. Now replace that into the slope formula. We have (2,9) and (4,17)

Answer 22

ok

Answer 23

Are you sure all the information you put is correct? Something is not right.

Answer 24

\[\frac{ 17_{2}-9_{1} }{ 4_{2}-2_{1} }\]

Answer 25

Okay, what is that equal to?

Answer 26

how would i solve that

Answer 27

by crose multiplying

Answer 28

Subtract on the top, then on the bottom.

Answer 29

ok i got 20

Answer 30

How so?

Answer 31

17-9, then 4-2

Answer 32

i got 25 over 6