Question

Which function has a greater rate of change?

Function A:
x 1.5 2.5 3.5 4.5 5.5
y –5 0 5 10 15
Function B:
y = –4.5x + 15
Function A has a rate change of BLANK and Function B has a rate change of BLANK so Function BLANK has a greater rate of change

Answer 1

Answer:

5; -4.5; Function A

Explanation:

Rate of change for function A is:

(15 - 10)/(5.5 - 4.5) = 5/1 = 5

Rate of change of function B is:

-4.5 as the slope is the rate of change

Comparing the values:

5 > - 4.5

Function A has a greater rate of change

Answer 2

• 5; -4.5; Function A

Explanation:

Rate of change for function A is:

• (15 - 10)/(5.5 - 4.5) = 5/1 = 5

Rate of change of function B is:

• -4.5 as the slope is the rate of change

Comparing the values:

• 5 > - 4.5

Function A has a greater rate of change