Final answer:
The student earns $85 from their part-time job after subtracting the $15 allowance from the total $100. Dividing $85 by the 5 hours worked gives an hourly wage of $17. Since none of the options are correct but we must choose the closest one, the answer would be marked as $15 per hour (option B).
Step-by-step explanation:
To determine how much the student earns per hour at their part-time job, we first need to calculate the total amount earned from the job separately from the allowance. The student has $100 at the end of the week, which includes a $15 allowance. Subtracting the allowance from the total gives us the amount earned solely from the job.
$100 total - $15 allowance = $85 from the job.
Next, we calculate the total number of hours worked, which is 3 hours on Friday plus 2 hours on Saturday, equaling 5 hours in total. To find the hourly wage, we divide the total money earned from the job by the total number of hours worked.
$85 รท 5 hours = $17 per hour.
Given the provided options, the closest amount to $17 per hour is $15 per hour (option B), which is not exactly correct. It's important to notice that none of the options provided are accurate. In reality, the student earns $17 per hour at their part-time job, but since we need to choose the closest option, option B would be selected.