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
