Savannah was paid $87 for 12 hours of babysitting and $65.25 for 9 hours. What is the constant of proportionality that describes this relationship?

Verified Answer :

The answer is 7.25. I did the math

Answer: 7.25 dollars per hour.

Step-by-step explanation:

The constant of proportionality is the ratio of two variables , y (dependent variable) to x (independent variable).

Given: Savannah was paid $87 for 12 hours of babysitting and $65.25 for 9 hours.

Here , Number of hours is independent variable and the amount she gets for babysitting with respect to number of hours is dependent variable.

Therefore, \(c=\frac{y}{x}=\frac{87}{12}=7.25\) dollars per hour

Also, \(c=\frac{y}{x}=\frac{65.25}{9}=7.25\) dollars per hour

Hence, the constant of proportionality describes the given relationship = 7.25 dollars per hour.