Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

Hamadi is renting a car. The rental charge is $17.50 \$ 17.50 per day plus $0.16 \$ 0.16 per mile. Hamadi can spend at most $33 \$ 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?\newlineChoose 11 answer:\newline(A) 5353\newline(B) 9797\newline(C) 110 \mathbf{1 1 0} \newline(D) 150 \mathbf{1 5 0}

Full solution

Q. Hamadi is renting a car. The rental charge is $17.50 \$ 17.50 per day plus $0.16 \$ 0.16 per mile. Hamadi can spend at most $33 \$ 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?\newlineChoose 11 answer:\newline(A) 5353\newline(B) 9797\newline(C) 110 \mathbf{1 1 0} \newline(D) 150 \mathbf{1 5 0}
  1. Calculate Maximum Spending: Calculate the maximum amount that can be spent on miles alone by subtracting the daily rental charge from the total amount Hamadi can spend.\newline$33$17.50=$15.50\$33 - \$17.50 = \$15.50
  2. Determine Miles Driven: Determine how many miles can be driven with the remaining $15.50\$15.50 at the rate of $0.16\$0.16 per mile.\newline$15.50÷$0.16\$15.50 \div \$0.16 per mile = 96.87596.875 miles\newlineSince Hamadi cannot drive a fraction of a mile, we round down to the nearest whole number.
  3. Check Answer Choices: Check the answer choices to see which is the largest number of miles Hamadi can drive without exceeding the maximum amount of $33\$33. The largest whole number of miles less than or equal to 96.87596.875 is 9696, which is not an option. The closest option less than 9696 is 9797 miles.

More problems from Interpret parts of quadratic expressions: word problems