Question

The owner of a city parking garage uses a rate table so that he can look up the parking charges quickly. Enter a number as a decimal in each box to complete the table below. What is the garage's unit rate for parking? Kristin was charged $42.25 for parking. How many hours did she park her car at the garage? Enter the answer as a mixed number in the simplest form.

Answer 1

The required table is shown below:

Hours 1/2 1 1.5 2 2.5 3 3.5 4

Charges $3.25 $6.50 $9.75 $13.0 $16.25 $19.5 $22.75 $26

Garage's unit rate for parking $6.50.

She park her car at the garage for
`6(1)/(2)` hours.

Explanation:

Consider the provided table.

Part (A)

The owner charges $3.25 for 1/2 hour.

This can be written as:

1/2 hours = $3.25

Multiply both the sides by 2.

1 hour = $6.50

For
`1(1)/(2)` he will charge: $6.50 + $3.25 = $9.75

Similarly, you can solve for other values.

The required table is shown below

Hours 1/2 1 1.5 2 2.5 3 3.5 4

Charges $3.25 $6.50 $9.75 $13.0 $16.25 $19.5 $22.75 $26

Part (B)

Now we need to find the garage's unit rate.

Unit rate is how much of something per 1 unit of something else.

From the table we can say that garage's unit rate for parking $6.50.

Part (C)

Kristin was charged $42.25 for parking.

The charges for per hour is $6.50. Let Kristin park her car for x hours.

Thus, the charge for x hours will be x times 6.50. This can be written as.

`6.50x=42.25\\x=(42.25)/(6.50) \\x=6.50`

It is required the answer should be in mixed fraction.

Thus, she park her car at the garage for
`6(1)/(2)` hours.

Answer 2

Explanation:

1.

hours 1/2 1 1.5 2 2.5 3 3.5 4

charges 3.25 6.50 9.75 13.0 16.25 19.50 22.75 26.00

2. The garage rate of parking is ;

$3.25 = 0.5 hr

?=1----------------------twice the charge for half an hour

=2*3.25=$6.50

$6.50 per hour

3.

$6.50=1 hour

$42.25=?------------------cross multiply

$(42.25*1)÷$ 6.50 = 6 hrs 30 min