Question

For f(x) = 0.01(2)x, find the average rate of change from x = 12 to x = 15.

Answer 1

so evaluate with the given values of x

Answer 2

try that first

Answer 3

\[\text{average rate of change} = \frac{ f(b)-f(a) }{ b-a }\] x= 12= a, x=15=b

Answer 4

i dont understand

Answer 5

do you know what a SLOPE is?

Answer 6

yes

Answer 7

For f(x) = 0.01(2)x, find the average rate of change from x = 12 to x = 15

For f(x) = 0.01(2)x is the same as saying y = 0.01(2) x

now we have two values of x's provided and we need to evaluate them one at a time
\(x_1 = 12 \) and \(x_2 = 15 \)

\(y_1 = 001(2) x_1 \rightarrow y_1 = 001(2) *12\)
\(y_2 = 001(2) x_2 \rightarrow y_2 = 001(2) * 15\)

after we evaluate each y's, we use the SLOPE formula \( \dfrac{y_2-y_1}{x_2-x_1} \) because AVERAGE rate is just the same as the SLOPE.

Answer 8

there's a period in there 0.01 but it didn't go through my bad.

Answer 9

so would x1 and x2 and y1 and y2 be the same?

Answer 10

yes something similar to when you are learning slopes

Answer 11

so does that mean y1=.24 and y2=.3?

Answer 12

I do not have a calculator so I am not sure.