Question

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

Answer 1

The answer to the question would be “C”

Answer 2

D. Function 2 has a greater rate of change by

3

2

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