Question 13 (1 point)
Nira was paid $100 for 8 hours of babysitting and $112.50 for 9 hours. What is the constant of proportionality that describes this relationship?
a
65
b
12.50
c
0.08
d
125
The constant of proportionality can be found by dividing the amount paid by the number of hours worked.
For the first scenario:
$100 ÷ 8 hours = $12.50/hour
For the second scenario:
$112.50 ÷ 9 hours = $12.50/hour
Since the amount paid per hour is the same in both scenarios, the constant of proportionality is $12.50/hour.
Answer: b) $12.50
To find the constant of proportionality, we need to calculate the rate at which Nira is paid per hour of babysitting.
First, we find the rate of pay for the first scenario: $100 paid for 8 hours of babysitting.
Rate = Amount Paid / Number of hours = $100 / 8 = $12.50 per hour.
Next, we find the rate of pay for the second scenario: $112.50 paid for 9 hours of babysitting.
Rate = Amount Paid / Number of hours = $112.50 / 9 = $12.50 per hour.
Since the rate of pay per hour in both scenarios is the same ($12.50), the constant of proportionality is 12.50.
The correct answer is b) 12.50.