Question

Big Red Gymnastics Academy charges an initial fee of $ 200 to rent its gym for birthday parties. The academy then charges an additional $75 per hour. Write an equation that gives the total cost of the gym as a function of gym time (in hours).

A. y= 75x - 200
B. y= 200x + 75
C. y= 75x + 200
D. y= 200 - 75x

Answer 1

Answer: C. y= 75x + 200

Explanation:

Since they charge $75 an hour x represents the house and they charge an initial fee of $200 so you add that to the $75 an hour

Answer 2

C

Explanation:

The equation y = mx + b helps use to solve this type of problem

We know the initial amount to rent the gym is $200, that will be our b for this case since it is the y-intercept. This is the y-intercept since that is the initial amount.

The slope for this equation will be 200 represented by m. The key term that represents this is out slope is per. "$75 per hour." Since the function is in hours we don't need to convert hours into another unit.

Now if we plug in the variables, we get the equation y = 75x + 200 which is what C is.