i need help with all of these ( and pls explain)
https://snag.gy/5tGAlM.jpg
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