Question

max is painting a fence.the table shows the number of square feet he painted after various number of minutes.what is the rate of change

Answer 1

He paints at a rate of 3.5 square feet per minute

Answer 2

The correct option is 4.

Explanation:

If a linear function passes through two points
`(x_1,y_1)` and
`(x_2,y_2)`, then the slope of linear function is

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

From the given table consider any two points from the table.

Let as consider two point (1,3.5) and (2,7). Slope of the function is

`m=(7-3.5)/(2-1)`

`m=(3.5)/(1)`

`m=3.5`

Rate of change is 3.5. Therefore the correct option is 4.