Question 947587
The difference in membership fees is $6 and the difference in monthly fees is $3, so it will obviously take 2 months to make up the difference. But how do we express this mathematically?
Let M= number of months
Club A=$29+$28M; Club B=$23+$31M
The break even point is when they are equal. After that, time favors the lower monthly fee (Club A)
Club A=Club B
$29+$28M=$23+$31M subtract $23 from each side
$6+$28M=$31M  Subtract $28M from each side
$6=$3M Divide each side by $3
2=M ANSWER: After 2 months, the cost of the clubs is the same
Cost at 2 months:
Club A=$29+$28(2)=$29+$56=$85
Club B=$23+$31(2)=$23+$$62=$85
ANSWER: Total cost of each club at break even point is $85.