When a person puts a quarter in a parking meter, the person can park a car for 15
minutes. The amount of time a person can park is proportional to the amount of
money put in the parking meter.
Rita put coins in the parking meter to park for 1 hour and 24 minutes.
What amount of money is required to park for exactly 1 hour and 24 minutes? Show
or explain the steps you used to determine the answer.
Enter your answer and your work or explanation in the space provided.

1 hour 24 minutes lies between 1 hour 15 minutes and 1 hour 30 minutes
As more time than 1h 15min is needed, payment for 1 hour 30 minutes needs to be given
Cost = 1h 30min / 15min x $0.25
Cost = 90min / 15 min x $0.25
Cost = 6 x $0.25
Cost = $1.50

Answer Link

semsee45 semsee45 · Answer 2 · 2022-05-13T11:40:26+02:00

Answer:

$1.40

Step-by-step explanation:

[tex]\textsf{Given: 1 quarter (25 cents) = 15 minutes of parking}[/tex]

[tex]\implies \textsf{Cost of 1 minute of parking}=\sf \dfrac{25}{15}=\dfrac{5}{3}\:cents[/tex]

[tex]\textsf{1 hour = 60 minutes}[/tex]

[tex]\implies \textsf{1 hour 24 minutes} = \sf 60 + 24 = 84\: \sf minutes[/tex]

[tex]\begin{aligned}\implies \textsf{Cost of 84 minutes of parking} & = \textsf{Cost of 1 minute of parking} \times \sf 84\\& =\sf \dfrac{5}{3} \times 84\\& =\sf 140\:\sf cents\\& =\sf \$ 1.40\end{aligned}[/tex]

The question asks for the money required to park for exactly 1 hour 24 minutes, which is explained above.

However, if the parking meter only allows increments of 15 minutes of parking, then Rita would need to pay for 1 hour 30 minutes of parking since

15 × 5 = 1 hours 15 minutes

15 × 6 = 1 hours 30 minutes

Therefore, this would cost $0.25 × 6 = $1.50