Casey wants to buy a gym membership. one gym has a $150 joining fee and cost $35 per month. another jim has no joining fee and cost $60 per month. when would casey pay the same amount to be a member of either gym? how much would he pay?

After 6 months, Casey would pay $360 to join either gym.

Step-by-step explanation:

At the first gym, the cost is $35 per month in addition to a $150 joining fee.  So, the equation based on 'x' number of months and a total cost of 'c' is:

c = 35x + 150

At the second gym, the cost is just $60 per month.  So, the equation based on 'x' number of months and a total cost of 'c' is:

c = 60x

Since you want to find the number of months 'x' it would take until Casey would pay the same amount to be a member of either gym, you can take the two equations and set them equal to each other:

35x + 150 = 60x

Subtract 35x from both sides: 35x - 35x + 150 = 60x - 35x or 150 = 25x

Divide both sides by 25: 150/25 = 25x/25 or x = 6

So, after 6 months, the cost would be same.  The find the cost, replace 'x' with 6 in one of the equations:  c = 60(6) = $360.

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square