Answer:
The relationship can be described by a constant rate
Explanations:
Let the dogs walked be represented by x
Let the amount of money earned be represented by y
From the table:
[tex]\begin{gathered} x_1=6,x_2=6,x_3=11 \\ y_1=112.50,y_2=150.00,y_3=\text{ 206.25} \end{gathered}[/tex]
For the relationship to be described by a constant rate:
[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{y_3-y_2}{x_3-x_2}[/tex][tex]\begin{gathered} \frac{y_2-y_1}{x_2-x_1}=\frac{150.00-112.50}{8-6} \\ \frac{y_2-y_1}{x_2-x_1}=\text{ }\frac{37.50}{2} \\ \frac{y_2-y_1}{x_2-x_1}=18.75 \end{gathered}[/tex][tex]\begin{gathered} \frac{y_3-y_2}{x_3-x_2}=\frac{206.25-150.00}{11-8} \\ \frac{y_3-y_2}{x_3-x_2}=\frac{56.25}{3} \\ \frac{y_3-y_2}{x_3-x_2}=18.75 \end{gathered}[/tex]
Since:
[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{y_3-y_2}{x_3-x_2}=18.75[/tex]
The relationship can be described by a constant rate of 18.75
