Question

A local gym charges nonmembers $8 per day to use the volleyball courts. Members pay a joining fee of $150 and $2 per day to use the volleyball courts. How many days would it take to have the same cost for nonmembers and members?

a) 50 days
b) 75 days
c) 100 days
d) 125 days

Answer 1

After setting up the cost equations for both nonmembers and members of the gym, we find that it would take 25 days for both to incur the same cost for using the volleyball courts, which doesn't match the provided answer choices. This suggests there may be a typo or error within the question as presented.

Step-by-step explanation:

To determine how many days it would take for nonmembers and members at a local gym to have the same cost for using the volleyball courts, we need to create an equation and solve for the number of days (d). For nonmembers, the cost is $8 per day. For members, the cost includes a $150 joining fee plus $2 per day.

Let's set up the equations for both members and nonmembers:

• Nonmember cost: 8d
• Member cost: 150 + 2d

These two costs will be equal at some amount of days

d

.

Equation to solve for d:

• 8d = 150 + 2d

To find the value of d, we'll subtract 2d from both sides of the equation:

8d - 2d = 150

6d = 150

Now, divide both sides by 6:

d = 150 / 6

d = 25

However, this doesn't match any of the answer choices provided in the question, but according to the calculations, it would take 25 days for the cost to be the same for both members and nonmembers.

Please double-check the answer choices and make sure there are no typos or errors in the question.