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?
Responses
A 6565
B 0.140.14
C 7.257.25
D 12.512.5
To find the constant of proportionality, we need to divide the total payment by the total number of hours worked.
Total payment = $87 + $65.25 = $152.25
Total number of hours worked = 12 + 9 = 21
Constant of proportionality = Total payment / Total number of hours worked
= $152.25 / 21
= $7.25
Therefore, the answer is option C: 7.25.
To find the constant of proportionality that describes the relationship between the number of hours of babysitting and the amount paid, we need to calculate the ratio of the amount paid to the number of hours for both instances.
For the first instance, Savannah was paid $87 for 12 hours of babysitting.
So, the ratio of the amount paid to the number of hours is 87/12 = 7.25.
For the second instance, Savannah was paid $65.25 for 9 hours of babysitting.
So, the ratio of the amount paid to the number of hours is 65.25/9 = 7.25.
As we can see, both instances have the same ratio, which is 7.25.
Therefore, the constant of proportionality that describes this relationship is C) 7.25.