Consider the two functions. Which statement is true? A) Function 1 has a greater rate of change by 2 B) Function 2 has a greater rate of change by 2 C) Function 1 has a greater rate of change by 3 2 D) Function 2 has a greater rate of change by 3 2

The answer to the question would be "C"

D. Function 2 has a greater rate of change by

3

2

Step-by-step explanation:

Function 2 has a greater rate of change by

3

2

m =

y2 - y1

x2 - x1

Function 1 has a slope of

1

2

.

x-int = (-4, 0)

y-int = (0, 2)

m =

2 - 0

0 - (-4)

=

2

4

=

1

2

Function 2 has a slope of 2.

m =

5 - 3

3 - 2

=

2

1

= 2

thus,

2 -

1

2

=

4

2

-

1

2

=

3

2