Question

Linear, exponential, or neither?

Answer 1

Answer:

A) Linear

Step-by-step explanation:

For a linear relation, there will be a constant rate of change

For an exponential relationship, there will be a multiplicative rate of change.

For x-values, there is a constant difference of

$d = 4 - - 3 = 11 - 4 = 18 - 11 = 7$

For the y-values, there is a constant difference of

$b = 1 - - 3 = 5 - 1 = 9 - 5 = 4$

The rate of change of the function represented by the table is

$m = \frac{change \: in \: y}{change \: in \: x} = \frac{4}{7}$

The equation can be derived as:

$y + 3 = \frac{4}{7} (x + 3)$

This is a linear relationship