Problema Solution
A health club charges nonmembers £2 per 8) day to swim and £5 per day for aerobics
classes. Members pay a yearly fee of
£200 plus £3 per day for aerobics classes
and they can swim any day for nothing more. Write and solve an equation to find the number of days youmust use the club to justify a yearly membership.
Answer provided by our tutors
let
x = the number of days you go to swim
y = the number of days you do aerobics
for x + y days
non-member will pay: 2*x + 5*y
member will pay: 200 + 3*y
we will find the number of days that justify yearly membership is we write the inequality
the money the member pays < the money non-member pays
200 + 3*y < 2*x + 5*y
2*x + 5*y > 200 + 3*y
2*x + 2*y > 200 divide both sides by 2
x + y > 100
if the total number of days that you use the club is greater then 100 then the yearly membership is justified.