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13. use the chart for parking rates shown below. what is the cost of pa…

Question

  1. use the chart for parking rates shown below. what is the cost of parking 3 hours and 15 minutes? parking rates $1.75 first hour 0.75 each additional half hour $8.25 maximum

Explanation:

Step1: Calculate time after first hour

Total time is 3 hours 15 minutes. Subtract the first hour: \( 3\) hours \( 15\) minutes \( - 1\) hour \( = 2\) hours \( 15\) minutes.

Step2: Convert remaining time to half - hours

2 hours 15 minutes is equal to \( 2+\frac{15}{60}=2.25\) hours. Since each additional period is half - hour (\(0.5\) hours), the number of additional half - hours is \(\frac{2.25}{0.5} = 4.5\). But we can't have half of a half - hour in terms of charging (we need to round up because 15 minutes is part of a half - hour). So we round up 4.5 to 5 additional half - hours.

Step3: Calculate cost of additional time

The cost for each additional half - hour is $0.75. So the cost for additional time is \(5\times0.75=\$3.75\).

Step4: Calculate total cost

The cost for the first hour is $1.75. So total cost before checking maximum is LXI0. Now we check the maximum cost which is $8.25. Since \(5.5<8.25\), the total cost is $5.5.

Answer:

\(\$5.50\)