Question

For f(x) = 0.01(2)x, find the average rate of change from x = 2 to x = 10.
a 1.275
b 8
c 10.2
d 10.24

Answer 1

[f(10) - f(2)] / (10 -2) equals the average change

Answer 2

thx but can you show me how you got that

Answer 3

When I solved the equation I didn't get any of your choices, so I must be wrong, but I don't know why ....yet.

Answer 4

f(10) is 10.24
f(2) is 0.04

the difference is 10.2
10 - 2 = 8

find the average rate of change ?
the rate of change is delta Y / delta X but that isn't the average rate I guess

so what is
f(2) 0,04
f(3) 0.08
f(4) 0.16
f(5) 0.32
f(6) 0.64
f(7) 1.28
f(8) 2.56
f(9) 5.12
f(10) 10.24

See a pattern?

Answer 5

ya

Answer 6

the average rate of change for a function \(f(x)\) from \(x=a\) to \(x=b\) is
\[\frac{f(b)-f(a)}{b-a}\]

if you do that calculation here, you will get one of the answer choices...

Answer 7

i suck at math

Answer 8

you're just finding the slope of a line between the starting point and the ending point.

Answer 9

I did that but I must have entered something wrong. I will try again. Thanks. whpalmer4

Answer 10

you can't really tell much from looking at the table of intermediate values. they can be all over the place, or on a straight line, all that matters is where you start and finish.

Answer 11

I need to go back to calculator school. Thanks again, I thought I was losing it.