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
[tex]R=\dfrac{d-b}{c-a}.[/tex]
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
[tex]R=\dfrac{m-27}{11-10}\\\\\\\Rightarrow -8=\dfrac{m-27}{1}\\\\\Rightarrow -8=m-27\\\\\Rightarrow m=27-8\\\\\Rightarrow m=19.[/tex]
Thus, the required value of m is 19.
Option (C) is CORRECT.
