Tom and his best friend are going to join a gym. tom saw that platinum gym has a sale with a one time fee of $90 and a monthly fee of $30. tom's friend sees that super fit only charges $20 a month, but its registration fee is $200. write an equation that shows the membership cost for each gym (2 points). if tom joins platinum gym, how much would it cost for 6 months? (1 point) how much would it cost for tom to join super fit? (1 point) how many months until it costs the same amount of money for both gyms? (2 points-show your work) which gym deal is a better deal? (2 points for explaining)

Platinum gym =90+30m

Super Fit Gym = 200+20m

Platinum gym for six months: $270

Super Fit Gym for six moths :$380

It costs the same amount of money for both gyms after 11 month

For the number of months  less than 11 month Platinum gym is the better deal

For the number of months greater than 11 month Super Fit is the better deal

Explanation:

Hi, we have to write an equation for each gym:

Platinum Gym (PG)

Cost: 90+30m

Where "m" is the number of months

Super fit (SF)

Cost: 200+20m

To obtain the cost of each gym for six months we have to use the value of m=6.

PG = 90 + 30(6)=$270

SF = 200 + 30(6) = $380

To find the months:  

90+30m = 200+20m

30m-20m = 200-90

10m=110

m= 110/10

m=11 months

It costs the same amount of money for both gyms after 11 month

For the number of months less than 11 month Platinum gym is the better deal  

For the number of months greater than 11 month Super Fit is the better deal