Question

Jennifer babysat on friday and made 52.20 in 6 hours.On sunday she baby sat for 4 hours and made 35. Was the amount she earned each day proportional to the number of hours that she worked?

Answer 1

Jennifer's earnings were not perfectly proportional to the hours worked because she earned slightly different hourly rates on Friday ($8.70 per hour) and Sunday ($8.75 per hour).

Step-by-step explanation:

To determine if the amount Jennifer earned was proportional to the hours she worked, we must calculate her hourly wage for each day and compare them. On Friday, she made $52.20 in 6 hours, which gives us an hourly wage of:

$52.20 ÷ 6 hours = $8.70 per hour.

On Sunday, she made $35 in 4 hours, so her hourly wage was:

$35 ÷ 4 hours = $8.75 per hour.

Although the hourly wages are very close, $8.70 per hour and $8.75 per hour are not exactly the same, meaning the amounts are not perfectly proportional. Proportionality in this context implies that the hourly wage should be constant regardless of the number of hours worked. In Jennifer's case, there is a slight difference in the rates, so technically, the amounts are not proportional.