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

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:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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:

$m=\dfrac{a-27}{11-10}$

$m=\dfrac{a-27}{1}$

$m=a-27$

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.

Answer 2

Answer:

it is C

Step-by-step explanation: