Question

In order for the data in the table to represent a linear function with a rate of change of –8, what must be the value of a?

Answer 1

it is C

Explanation:

Answer 2

Given:

Consider the below figure attached with this question.

The rate of change of the linear function is -8.

To find:

The value of a.

Solution:

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

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

From the given table, it is clear that the linear function passes through the points (10,27) and (11,a). So, the slope of the linear function is:

`m=(a-27)/(11-10)`

`m=(a-27)/(1)`

`m=a-27`

The rate of change of the linear function is -8.

`-8=a-27`

`-8+27=a`

`19=a`

Therefore, the value of a is 19.