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# i need help with all of these ( and pls explain)

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i need help with all of these ( and pls explain)

https://snag.gy/5tGAlM.jpg

Sep 20, 2018

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a)  Platinum costs \$60 for the registration fee and \$20 per month

Let C be the total cost for x monts and we have that

C  =  60 + 20x    (1)

b) Super Fit costs \$150 for the registration and \$10 per month

The cost, C, for x months can be given by

C = 150 + 10x  (2)

c) Platinum  after 1 month would cost   60 + 20(1)  = \$80

Super Fit after 1 month would cost  150 + 10(1)   = \$160

So...Tom would  pay less than Edward in the first month

Platinum after 1 year = 12 months would cost  60 + 20(12)  = \$300

Super Fit after 1 year would cost  150 + 10(12)  = \$270

So Edward would pay less after1 year

d) Set (1)  and (2) equal to find the equalized costs after x  months

60 + 20x = 150 + 10x     subtract 10x, 60  from both sides

10x  = 90    divide both sides by  10

x  = 9  months  they cost the same

e)  If you're in it for the long term, Super Fit is the better deal because the slope of (2)  < slope of (1)

If you plan to only stay in for 8 months, then Platinum is the better deal   Sep 20, 2018