Question

Rahul is deciding between two parking garages. Garage A charges an initial fee of $12 to park plus $4 per hour. Garage B charges an initial fee of $6 to park plus $5 per hour. Let A

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A represent the amount Garage A would charge if Rahul parks for t
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t hours, and let B
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B represent the amount Garage B would charge if Rahul parks for t
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t hours. Write an equation for each situation, in terms of t, comma
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,
t, and determine which garage would be cheaper if Rahul needs to park for 10 hours.

Answer 1

Explanation:

For Garage A, the equation representing the amount charged, A, if Rahul parks for t hours can be written as:

A = 12 + 4t

Similarly, for Garage B, the equation representing the amount charged, B, if Rahul parks for t hours can be written as:

B = 6 + 5t

To determine which garage would be cheaper if Rahul parks for 10 hours, we substitute t = 10 into both equations and compare the results.

For Garage A:

A = 12 + 4(10)

A = 12 + 40

A = 52

For Garage B:

B = 6 + 5(10)

B = 6 + 50

B = 56

Comparing the amounts, we see that Garage A charges $52 for 10 hours of parking, while Garage B charges $56. Therefore, Garage A would be cheaper for Rahul if he needs to park for 10 hours.