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Atlantic boat rental charges a $35.50 deposit fee plus $12.25 per hour to rent the boat. Pacific boat rental charges $25.99 plus $14.99 per hour to rent the boat. How many hours would you have to rent the boat for the cost of both rentals be the same? Select the equation that represents this situation. 35.50 - 12.25x = 25.99 - 14.99x 35.50 - 12.25x = 25.99 - 14.99x 35.50 + 12.25x = 25.99 + 14.99x 35.50 + 12.25x = 25.99 + 14.99x 35.50x + 12.25 = 25.99x + 14.99 35.50x + 12.25 = 25.99x + 14.99 12.25x - 35.50 = 14.99x - 25.99

Respuesta :

MrRoyal

Answer:

35.50 + 12.25x = 25.99 + 14.99x

Step-by-step explanation:

Given

Atlantic Boat

Deposit = $35.50

Hourly Rate = $12.25

Pacific Boat

Deposit = $25.99

Hourly Rate = $14.99

Required

Determine the equation that represents when both charges would be equal

Represent the number of hours with x

For both rental agencies, the hourly rate would be calculated using:

Deposit + Hourly Rate * x

So, for Atlantic Boat, the expression is:

35.50 + 12.25 * x

35.50 + 12.25x

For Pacific Boat, the expression is:

25.99 + 14.99 * x

25.99 + 14.99x

Next, is to equate both expressions.

This, when solved would get the number of hours when there charges would be the same.

35.50 + 12.25x = 25.99 + 14.99x

Solving further:

Collect like terms

35.50 - 25.99 = 14.99x - 12.25x

9.51 = 2.74x

Divide through by x

x = 9.51/2.74

x = 3.47 hours

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