Question

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Given the function f(x) = 5x, 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)

Answer 1

@Jadeishere

Answer 2

i don't understand the question

Answer 3

A))

Answer 4

A)))

f(0) = 5*0 =0
f(1) = 5*1 =5

Average rate = f(1) -f(0) / (1-0) = 5-0 / 1-0 =5

Answer 5

that's for section A,

Similarly for section b,

f(2) = 5*2 =10
f(3) =5*3 =15

f(3) -f(2) / 3-2 = 15-10 / 3-2 =5

Answer 6

B)) since the function in a linear function, which means a straight line, the average rate is same for both the given sections for section a and section b.