HW Score: \( 66.67 \%, 4 \) of 6 points The airport garage charges \( \$ 5 \) to park for the first hour and then \( \$ 3.50 \) an hour for any additional hours. Ben paid \( \$ 50.50 \) to park there one day when he flew to another city. How many hours was he parked at the airport.
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To find out how many hours Ben was parked at the airport, we first need to figure out how much he paid after the first hour. He paid a total of \( \$50.50 \). The first hour costs \( \$5 \). So we subtract the first hour cost from the total: \[ 50.50 - 5 = 45.50 \] This amount, \( \$45.50 \), is what he paid for the additional hours. The cost for these additional hours is \( \$3.50 \) per hour. Therefore, we can determine the number of additional hours by dividing the amount paid by the cost per hour: \[ \text{Additional hours} = \frac{45.50}{3.50} = 13 \] Now, we must add the one initial hour to find the total hours parked: \[ \text{Total hours} = 13 + 1 = 14 \] Thus, Ben was parked at the airport for a total of 14 hours.