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Sadie is deciding between two parking garages. Garage A charges an initial fee of $7 to park plus $4 per hour. Garage B charges an initial fee of $3 to park plus $5 per hour. Let AA represent the amount Garage A would charge if Sadie parks for tt hours, and let BB represent the amount Garage B would charge if Sadie parks for tt hours. Write an equation for each situation, in terms of t, commat, and determine which garage would be cheaper if Sadie needs to park for 7 hours.AnswerAttempt 1 out of 2A, equalsA= B, equalsB= is $ cheaper than when parking for 7 hours.

Question

Sadie is deciding between two parking garages. Garage A charges an initial fee of 7toparkplus7 to park plus 4 per hour. Garage B charges an initial fee of 3toparkplus3 to park plus 5 per hour. Let AA represent the amount Garage A would charge if Sadie parks for tt hours, and let BB represent the amount Garage B would charge if Sadie parks for tt hours. Write an equation for each situation, in terms of t, commat, and determine which garage would be cheaper if Sadie needs to park for 7 hours.AnswerAttempt 1 out of 2A, equalsA= B, equalsB= is $ cheaper than when parking for 7 hours.

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Solution

The equation for Garage A (AA) would be: A = 7 + 4t The equation for Garage B (BB) would be: B = 3 + 5t

To determine which garage would be cheaper for Sadie to park for 7 hours, we substitute t = 7 into both equations.

For Garage A: A = 7 + 4*7 = 7 + 28 = 35ForGarageB:B=3+57=3+35=35 For Garage B: B = 3 + 5*7 = 3 + 35 = 38

Therefore, Garage A is $3 cheaper than Garage B when parking for 7 hours.

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