Question

Below are the fees of a parking lot.

First 2 hours = $5

Every 1/2 hour (or part of a half hour) afterward = $3.50


Mr. Garcia parked his car from 5:00pm to 11:15pm on the same day. How much did he pay for par

Answer 1

$36.50

Explanation:

You want to know Mr. Garcia's parking charge if he parked from 5 pm to 11:15 pm, and charges are $3.50 for each half-hour or part thereof, and $5 for the first 2 hours.

Time

The time Mr. Garcia was parked was ...

11:15 pm - 5 pm = 6:15 hours

That is 2 hours plus 4 hours and 15 minutes.

The 4 hours and 15 minutes will count as 8+1 = 9 half-hours.

Charges

Then Mr. Garcia's parking charges are ...

first 2 hours: $5

9 half-hours: $3.50 × 9 = $31.50

Total = $5 + 31.50 = $36.50

Mr. Garcia paid $36.50 for parking.

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Additional comment

At the half-hour rate, the first 2 hours would cost 4·$3.50 = $14. The actual charges are $9 less. So, we could compute the total charge as $3.50 for 13 half-hours, less $9. This is shown in the attachment.

In the attached, -int(-x) performs the ceiling( ) function, rounding up 12.5 to 13.

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