Question

Please helppp......

Consider the two functions. Which statement is true?

A) function one 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 is D

Explanation:

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

Answer 2

The correct option is B.

Explanation:

From the graph of function 1 is the x-intercept is (-4,0) and the y-intercept is (0,2).

The slope formula is

`m=(y_2-y_1)/(x_2-x_1)`

Slope of the first function is

`m=(2-0)/(0-(-4))=(2)/(4)=(1)/(2)`

Therefore the slope of function 1 is
`(1)/(2)`.

From the table the two points are (2,3) and (3,5).

`m=(5-3)/(3-2)=(2)/(1)=2`

Therefore the slope of function 2 is 2.

The function 2 has a greater rate of change by 2. Option B is correct.