Question

you plan to go snowboarding this weekend in Pennsylvania. the resort charges $15.75 per hour in addition to a $25 deposit to rent a snowboard. A) write a linear equation to represent the cost of renting a snowboard for x hours. B) use your linear equation to find out how much the costs of renting a snowboard from 8:30 to 12:30 A) equation. B) solution

Answer 1

A. Equation is
`c=25+15.75x`

B. Cost is $88

Explanation:

A)

Suppose you rent for x hours and each hour costs $15.75

How much would you need to pay?

`15.75x`

Moreover, there is a $25 dollar (fixed) deposit for renting, so that gets added to your payment. All in all, you have to pay
`25+15.75x`

This is the equation of renting a snowboard for x hours.

Equation is
`c=25+15.75x`

• Where x is the number of hours you rent the snowboard, and
• c is the total cost

B)

If you are renting from 8.30 to 12.30, you are basically renting for 4 hours.

To know how much it will cost, you simply plug in 4 into x (in the equation):

`c=25+15.75x\\c=25+15.75(4)\\c=88`

Cost is $88