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. Write and solve a linear equation to find the total cost to rent the snowboard from 8:30 am until 12:30 pm.

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