Jack is renting a boat to go fishing with his friends. One rental company charges a fee of $20 plus $13.50 an hour. A second rental company charges a fee of $6 plus $17 an hour. Let x represent the number of hours the boat is rented and y represent the total cost of the rental. Write a system of equations to represent the problem situation. When is the cost of each rental company the same? Explain how you got your answer.

Question

Lawrence Faulkner

Mathematics

18 January, 00:04

Jack is renting a boat to go fishing with his friends. One rental company charges a fee of $20 plus $13.50 an hour. A second rental company charges a fee of $6 plus $17 an hour. Let x represent the number of hours the boat is rented and y represent the total cost of the rental. Write a system of equations to represent the problem situation. When is the cost of each rental company the same? Explain how you got your answer.

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Answers (2)

Know the Answer?

Guadalupe Villarreal · Answer 1

Costs y1 and y2 are equal on renting for 4 hours

Delilah Cunningham · Answer 2

4 hours of rental

Step-by-step explanation:

y1 = 20 + 13.5x

y2 = 6 + 17x

20 + 13.5x = 6 + 17x

20 - 6 = 17x - 13.5x

14 = 3.5x

x = 4

Costs y1 and y2 are equal on renting for 4 hours