Question

Given the equation y=3x, find average rate of change of y from x1=0 to x2=8

Answer 1

I know the avg rate of change is (y2-y1)/(x2-x1)

Answer 2

i got y1=0 and y2=64

Answer 3

and as far as 64/8

Answer 4

I have a few problems like this so I dont know what to do for them

Answer 5

how did you get y2 = 64?

Answer 6

I'm getting

y = 3x

y = 3*8

y = 24

so y2 = 24 when x2 = 8

Answer 7

oh that makes more sense. webwork's examples are confusing

Answer 8

hmm, well anyways, what new final answer do you get?

Answer 9

WebWork said to do it as (x2)^2 so I squared 8.
I got 3

Answer 10

isn't the original equation y = 3x and not y = x^2 ?

Answer 11

yea

Answer 12

just a bad typo it seems

Answer 13

yeah the avg rate of change is 3

Answer 14

for any linear equation, the avg rate of change is the slope of the line

Answer 15

you'll see that avg rate of change visually corresponds to the slope of the secant line