Question

Heres

1. Use the table and the graph to answer the questions.
(a) What is the rate of change for each function? Show your work.
(b) Which function has the greater rate of change?
can you help me do these things

Answer 1

The rate of change of first function is -2.

The rate of change of second function is 4.

Function 2 has greater rate of change.

Explanation:

If a line passes through two points
`(x_1,y_1)` and
`(x_2,y_2)`, then the formula for rate of change is

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

From the table and graph consider any two points to find the rate of change of each function.

From the table, let as consider two point (-1,3) and (-2,5). The rate of change of first function is

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

`m=(2)/(-2+1)`

`m=-2`

The rate of change of first function is -2.

From the graph, let as consider two point (-1,0) and (0,4). The rate of change of second function is

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

`m=(4)/(1)`

`m=4`

The rate of change of second function is 4.

Since -2<4, therefore function 2 has greater rate of change.

Answer 2

For the rate of change of Function 1, it is 2 because when I did delta y over delta x (3/-1)-(5/-2) i got negative 2 over negative 1. Two negatives equal a positive. For the rate of change of Function 2, it is 4. I picked two points that can even meet. Then I use the formula of rise over run to comes out as 4/1 simplified to 4. So Function 2 has the greater rate of change.