Tom and his best friend edward are seeking to join a gym. tom saw on television that platinum gym was having a grand opening in a few months. tom is considering a membership at platinum gym. platinum gym charges a one-time registration fee of $60, and membership is $20 a month. tom's best friend edward says he plans to join super fit because super fit only charges $10 a month but has a one-time registration fee of $150. (a) write an expression to represent the membership cost of platinum gym for x months. (b) write an expression to represent the membership cost of super fit for x months. ( c) if tom decides to join platinum gym and edward joins super fit, who would pay less during the first month of membership? who would pay less after a year of membership? show your work.

irrational, cannot

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages