Given the function f(x) = 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 r

Question

2 years ago

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Given the function f(x) = 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 r

ate 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)

Mathematics

1 answer:

Wewaii [24] · Answer 1 · 2022-07-06T21:18:17+03:00

Table of the graph:
x: <em></em>1 2 3
y: 5 25 125

Average Rate of Change = $\frac{y_{2}-y_{1} }{x_{2} - x_{1} }$

Section A = 25-5/2-1 =20/1 =20
Section B = 125 - 25/ 3-2 = 100/1 = 100

So, Section B is 5 times greater than A.
Section B is greater because the slope of two points is greater than points in Section A.