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?

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 and , then the rate of change of the linear function is:

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:

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

Therefore, the value of a is 19.

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: