Aaron works 3 1/2hours 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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To calculate Aaron's next paycheck after receiving a $1.00 raise, we first need to determine his current earnings and then recalculate with the raise included.

  1. Calculate his current hourly rate:

    • Current hourly rate = $7.25
    • New hourly rate after the raise = $7.25 + $1.00 = $8.25
  2. Calculate the hours he works every Saturday:

    • Hours worked = 3.5 hours (or 3 1/2 hours)
  3. Calculate his weekly earnings before the raise: \[ \text{Weekly Earnings} = \text{Hourly Rate} \times \text{Hours Worked} \] \[ \text{Weekly Earnings} = 7.25 , \text{(current hourly rate)} \times 3.5 , \text{(hours)} = 25.375 \]

  4. Calculate his earnings for four weeks before the raise: \[ \text{Earnings for 4 Weeks} = \text{Weekly Earnings} \times 4 \] \[ \text{Earnings for 4 Weeks} = 25.375 \times 4 = 101.50 \]

  5. Calculate his earnings with the new hourly rate: \[ \text{New Weekly Earnings} = 8.25 , \text{(new hourly rate)} \times 3.5 , \text{(hours)} = 28.875 \]

  6. Calculate his new earnings for four weeks: \[ \text{New Earnings for 4 Weeks} = \text{New Weekly Earnings} \times 4 \] \[ \text{New Earnings for 4 Weeks} = 28.875 \times 4 = 115.50 \]

Therefore, Aaron will be paid $115.50 in his next paycheck, which corresponds to option D.