Question

Is the relationship shown by the data linear? If so, model the data with an equation.

Answer 1

The answer is d to that question

Answer 2

Answer:  C.  The relationship is not linear.

Step-by-step explanation:

When the rate of change  is constant of one variable is corresponding to the change in the other variable , then the relationship is said to be linear.

The rate of change is given by:-

$R=\frac{\text{change in y}}{\text{change in x}}\\\Rightarrow\ R=\frac{2-1}{7-3}=\frac{1}{4}$

Also,

$\\\Rightarrow\ R=\frac{5-3}{18-11}=\frac{2}{7}$

$But\ \frac{1}{4}\neq\frac{2}{7}$

Therefore, the rate of change is not constant .

Hence, The relationship is not linear.