Aaron works 3 1/2 hours every Saturday at a rate of $7.25 per hour. He is paid every four weeks. If his boss gives him a $1.00 raise, how much will Aaron be paid in his next paycheck?

A.

$95.70

B.

$101.50

C.

$108.90

D.

$115.50

1 answer

To determine how much Aaron will be paid in his next paycheck after receiving a $1.00 raise, we first need to calculate his weekly earnings before the raise and then with the raise.

  1. Current hourly rate: $7.25
  2. New hourly rate after the raise: $7.25 + $1.00 = $8.25
  3. Hours worked per Saturday: 3.5 hours
  4. Total earnings per Saturday (before raise): \[ 3.5 \text{ hours} \times 7.25 \text{ dollars/hour} = 25.375 \text{ dollars} \]
  5. Total earnings per Saturday (after raise): \[ 3.5 \text{ hours} \times 8.25 \text{ dollars/hour} = 28.875 \text{ dollars} \]

Now, since Aaron is paid every four weeks, we calculate his total earnings for four Saturdays:

  1. Earnings for four Saturdays (before raise): \[ 4 \times 25.375 \text{ dollars} = 101.50 \text{ dollars} \]
  2. Earnings for four Saturdays (after raise): \[ 4 \times 28.875 \text{ dollars} = 115.50 \text{ dollars} \]

Thus, Aaron will be paid $115.50 in his next paycheck after the raise. The correct answer is:

D. $115.50