Question

SCVCS is renting the Koger Center in downtown Columbia for graduation in June. There is a $500 setup / cleanup fee, and the Koger Center charges $425 per hour to rent. Write an equation to model this situation and find the cost to rent the Koger Center from 10:00 am - 3:00 pm. Read the steps below and fill in the blanks.

y=_____________x+
_________
Substitute x =___________into the equation.
It will cost $_________________ to rent the Koger Center. (Do not add commas or decimals with the answer)

Answer 1

Answer: Let's first determine the number of hours SCVCS will be renting the Koger Center from 10:00 am to 3:00 pm. There are 5 hours between 10:00 am and 3:00 pm, so the rental time is:

Rental time = 5 hours

Using this information, we can write an equation to model the total cost of renting the Koger Center, y, as a function of the rental time, x, in hours:

y = 425x + 500

Here, the slope of the line represents the rental cost per hour, and the y-intercept represents the setup/cleanup fee.

Substituting x = 5 into the equation, we get:

y = 425(5) + 500

y = 2125 + 500

y = $2,625

Therefore, it will cost $2,625 to rent the Koger Center from 10:00 am to 3:00 pm.

So, the completed expression is:

y = 425x + 500

Substitute x = 5 into the equation.

It will cost $2625 to rent the Koger Center.

Explanation: