SOLUTION: suppose a sports club has a membership fee of $300 in addition to a $40 monthly fee while a gym has a membership fee of 400 but has a monthly fee of only $30.
WRITE A SYSTEM OF
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Question 589956: suppose a sports club has a membership fee of $300 in addition to a $40 monthly fee while a gym has a membership fee of 400 but has a monthly fee of only $30.
WRITE A SYSTEM OF LINEAR EQUATIONS REPRESENTING THE COST OF THE CLUB AND THE GYM AS A FUNCTION OF THE NUMBER OF MONTHS OF USE.
SOLVE THE SYSTEM YOU WROTE . WHAT DOES THIS SOLUTION MEAN ?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
All Caps is shouting. It is therefore both rude and annoying. Don't write back and apologize or make lame excuses, just stop doing it.
Let 
represent the number of months of use. Then the total cost, 
is the fixed fee plus the number of months times the monthly fee:
models the sports club while
models the gym.
Solve by substitution. Substitute the expression in from either of the equations for in the other equation:
Solve for to find the number of months of usage such that the total cost of the sports club equals the total cost of the gym. Once you have determined this value, substitute it into either of the original equations to find the total amount when the two charge the same amount.
John
My calculator said it, I believe it, that settles it
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