Information about two linear functions is given in the chart.

f(x)

g(x)

x-intercept: 3

y-intercept: -6

x

g(x)

5, 1

10, 16

15, 31

20, 46

25, 61

30, 76

Which function is increasing at a greater rate?

A

f(x) has a rate of change of 2 and g(x) has a rate of change of 3, therefore, g(x) is increasing at a greater rate.

B

f(x) has a rate of change of -2, g(x) has a rate of change of 3, therefore, g(x) is increasing at a greater rate.

C

f(x) has a rate of change of 12, g(x) has a rate of change of 13, therefore, g(x) is increasing at a greater rate.

D

f(x) has a rate of change of 12, g(x) has a rate of change of 13, therefore, f(x) is increasing at a greater rate.