The problem asks us to compare the cost of parking in two different parking lots, Parking Lot A and Parking Lot B. Parking Lot A is represented by a table of values, and Parking Lot B is represented by a graph. We need to find the cost per hour for each parking lot and determine which parking lot is less expensive.

Applied MathematicsLinear EquationsRate of ChangeData AnalysisComparisonCost Analysis
2025/4/21

1. Problem Description

The problem asks us to compare the cost of parking in two different parking lots, Parking Lot A and Parking Lot B. Parking Lot A is represented by a table of values, and Parking Lot B is represented by a graph. We need to find the cost per hour for each parking lot and determine which parking lot is less expensive.

2. Solution Steps

a. Find the cost per hour for Parking Lot A.
We can calculate the cost per hour by dividing the cost by the time. Using the given values from the table:
For 2 hours, the cost is $10.
6

0. Cost per hour = $10.60 / 2 = $5.

3

0. For 4 hours, the cost is $21.

2

0. Cost per hour = $21.20 / 4 = $5.

3

0. For 7 hours, the cost is $37.

1

0. Cost per hour = $37.10 / 7 = $5.

3

0. So, the cost per hour for Parking Lot A is $5.

3
0.
b. Find the cost per hour for Parking Lot B.
From the graph, we can see that when the time is 5 hours, the cost is $
2

5. We can also see that when time is 10 hours, cost is $

5

0. Since the graph is a straight line passing through the origin, we can find the cost per hour by dividing the cost by the time.

Cost per hour = 25/5=25 / 5 =

5. Cost per hour = $50 / 10 = $

5. So, the cost per hour for Parking Lot B is $

5.
c. Compare the cost per hour for both parking lots.
Parking Lot A: $5.30 per hour
Parking Lot B: $5 per hour
d. Determine which parking lot is less expensive.
Since 5islessthan5 is less than 5.30, Parking Lot B is less expensive.

3. Final Answer

a. The cost per hour for Parking Lot A is 5.30,andthecostperhourforParkingLotBis5.30, and the cost per hour for Parking Lot B is
5.
b. Parking Lot B is less expensive because it costs 5perhour,whileParkingLotAcosts5 per hour, while Parking Lot A costs 5.30 per hour.

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