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

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

hoiuu
Sep 20, 2018

#1**+2 **

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

CPhill
Sep 20, 2018