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Alex
3 years ago
9

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]3 years ago
8 0
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.
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