Answer:
A) Lifetime: 200+15x
Health Bridge: 50+30x
B.1) Yes, they are both the same price after 10 Months at an amount of $350
B.2) Lifetime gym would be cheaper by $30
C) Health Bridge Gym because it is $60 less
D) Lifetime Gym
Step-by-step explanation:
A) 200=Initial Fee___15=Monthly Cost___x=Months
50=Initial Fee___30=Monthly Cost___x=Months
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B.1) 200+15(10)=350
50+30(10)=350
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B.2) 200+15(12)=$380
50+30(12)=$410
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C) 200+15(6)=290
50+30(6)=230
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Lifetime Gym's initial fee is greater than Health Bridge's fee but without exceeding $500, you are able to go to the gym for 20 months rather than 15 months using Health Bridge's plan.
D)200+15(20)=$500
50+30(15)=$500
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I hope this is enough work shown, if you need a better understanding let me know and I will revise the equations for you.