Final answer:
To find the gross pay required to keep $250 after a 23% tax, divide the net pay by 1 minus the tax rate, which results in $324.68.
Step-by-step explanation:
The question is asking to calculate the amount of gross pay a student needs to earn to keep $250 after paying an income tax of 23%. To solve this, we use the following formula:
Gross Pay = Net Pay / (1 - Tax Rate)
Where:
- Net Pay is the amount the student wants to keep, which is $250.
- The Tax Rate is 23% or 0.23 in decimal form.
Plugging the values into the formula:
Gross Pay = $250 / (1 - 0.23)
Gross Pay = $250 / 0.77
Gross Pay = $324.68 (after rounding to the nearest cent)
Therefore, the correct answer is c) $324.68.