Hamadi is renting a car. The rental charge is $17.50 per day plus $0.16 per mile. Hamadi can spend at most $33 for the cost of the car rental. If Hamadi rents the car for one day, which of the following is one possible number of miles Hamadi can drive the rental car? Choose 1 answer: (A) 53 (B) 97 (C) 110 (D) 150

Question

Hamadi is renting a car. The rental charge is  $17.50 per day plus  $0.16 per mile. Hamadi can spend at most  $33 for the cost of the car rental. If Hamadi rents the car for one day, which of the following is one possible number of miles Hamadi can drive the rental car? Choose 1 answer: (A) 53 (B) 97 (C)  110 (D)  150

Bytelearn · Accepted Answer

Determine total cost: Determine the total cost allowed for the car rental. Hamadi can spend at most $33 for the car rental.Calculate one-day cost: Calculate the cost for renting the car for one day without considering the miles driven. The rental charge per day is $17.50. Total cost for one day = $17.50Subtract rental charge: Subtract the one-day rental charge from the total allowed cost to find out how much is left for the mileage charge. $33 - $17.50 = $15.50 This is the amount Hamadi can spend on the mileage charge.Calculate maximum miles: Calculate the maximum number of miles Hamadi can drive with the remaining $15.50. The charge per mile is $0.16. Maximum miles = $15.50 / $0.16 per mile Maximum miles = 96.875 milesRound down to whole number: Since Hamadi cannot drive a fraction of a mile in this context, we round down to the nearest whole number. Hamadi can drive a maximum of 96 whole miles.Compare with given choices: Compare the calculated maximum miles with the given choices. The closest choice that does not exceed 96 miles is (A) 53 miles and (B) 97 miles. However, since Hamadi cannot exceed 96 miles, option (B) 97 miles is not possible.

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