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?

Question

Nikolai Stephenson

Mathematics

23 February, 06:13

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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Answers (1)

Know the Answer?

Kelly Kemp · Answer 1

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