Question

Given the function h(x) = 2(5)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

Part A: Find the average rate of change of each section. (4 points)

Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)

(10 points)

Answer 1

@angle

Answer 2

Hello @theronhoward400 !

Did you have a picture for your problem?

is the function h(x) = 2 (5)^x ?

Answer 3

yes

Answer 4

Part A is asking for the average rate of change

Here is a khan academy explanation for what that is and how to do that:
https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:average-rate-of-change-word-problems/a/average-rate-of-change-review#:~:text=What%20is%20average%20rate%20of%20change%3F&text=It%20is%20a%20measure%20of,endpoints%20on%20the%20function's%20graph.

Answer 5

no I don't

Answer 6

so we plug in
x = 0 and solve for y
then we plug in x = 1 and solve for y

and we are looking for what is essentially the slope between (0, y) and (1, y)

Answer 7

y = 2 * 5^(0) = ?

and

y = 2 * 5^(1) = ?