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.
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Calculate his current hourly rate:
- Current hourly rate = $7.25
- New hourly rate after the raise = $7.25 + $1.00 = $8.25
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Calculate the hours he works every Saturday:
- Hours worked = 3.5 hours (or 3 1/2 hours)
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Calculate his weekly earnings before the raise: \[ \text{Weekly Earnings} = \text{Hourly Rate} \times \text{Hours Worked} \] \[ \text{Weekly Earnings} = 7.25 , \text{(current hourly rate)} \times 3.5 , \text{(hours)} = 25.375 \]
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Calculate his earnings for four weeks before the raise: \[ \text{Earnings for 4 Weeks} = \text{Weekly Earnings} \times 4 \] \[ \text{Earnings for 4 Weeks} = 25.375 \times 4 = 101.50 \]
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Calculate his earnings with the new hourly rate: \[ \text{New Weekly Earnings} = 8.25 , \text{(new hourly rate)} \times 3.5 , \text{(hours)} = 28.875 \]
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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.