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 m?

Answer 1

Answer:  The correct option is (C) 19.

Step-by-step explanation:  We are given to find the value of m so that the data the table to represent a linear function with a rate of change of –8.

We know that

the rate of change for a linear function with two points (a, b) and (c, d) is given by

$R=\dfrac{d-b}{c-a}.$

From the table, we note that the points (10, 27) and (11, m) satisfy the given linear function.

So, the rate of change of the linear function will be

$R=\dfrac{m-27}{11-10}\\\\\\\Rightarrow -8=\dfrac{m-27}{1}\\\\\Rightarrow -8=m-27\\\\\Rightarrow m=27-8\\\\\Rightarrow m=19.$

Thus, the required value of m is 19.

Option (C) is CORRECT.

Answer 2

19...................................