You can buy a skateboard for$11.00 from a friend and rent the safety equipment for $2.30 per hour or you can rent all items you need for $3.30 per hour. For how many hours will the cost be the same ?

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Hiimben6018 Hiimben6018

11-12-2019
Mathematics

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You can buy a skateboard for$11.00 from a friend and rent the safety equipment for $2.30 per hour or you can rent all items you need for $3.30 per hour. For how many hours will the cost be the same ?

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Favouredlyf Favouredlyf · Answer 1 · 2019-12-14T13:22:03+01:00

Answer: it will take 11 hours for the costs to be the same

Step-by-step explanation:

Let x represent the number of hours it will take for the costs to be the same when you use either options

Let y represent the cost of taking option one for x hours.

Let z represent the cost of taking option one for x hours.

For option one, you can buy a skateboard for $11.00 from a friend and rent the safety equipment for $2.30 per hour. This means that the cost of x hours would be

y = 2.3x + 11

For option 2, you can rent all items you need for $3.30 per hour. This means that the cost of x hours would be

z = 3.3x

To determine the number of hours it will take for the costs to be the same, we will equate y to z. It becomes

2.3x + 11 = 3.3x

3.3x - 2.3x = 11

x = 11