Question

For f(x) = 0.01(2)x, find the average rate of change from x = 3 to x = 8

Answer 1

f(x) is same as y
so \[\huge\rm y=0.01(2)^x\] we need y value to find average rate of change (slope)
so first substitute x for 3 and then for 8 to find y value

Answer 2

let's find y when x =3
substitute x for 3 \[y=0.01(2)^3\] solve

Answer 3

Y=.08 and slope is 0?

Answer 4

y =0.08 when x= 3
right but how did you get 0 slope ?

Answer 5

find y when x = 8
substitute x for 8

Answer 6

well...
i have to go
find y when x=8 just like we did for x=3
then use slope formula \[\huge\rm \frac{ y_2 -y_1 }{ x_2 -x_1 }\]
plugin x's and y's value