SOLUTION: A teen club has weekly dances. You can become a member of the club for $30 a year and pay only $4 to attend each dance. Otherwise each dance costs $6. How many dances do you have
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-> SOLUTION: A teen club has weekly dances. You can become a member of the club for $30 a year and pay only $4 to attend each dance. Otherwise each dance costs $6. How many dances do you have
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Question 366326: A teen club has weekly dances. You can become a member of the club for $30 a year and pay only $4 to attend each dance. Otherwise each dance costs $6. How many dances do you have to attend so that becoming a member will cost less than paying the nonmember rate? Found 2 solutions by mananth, josmiceli:Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! cost when member
x be the number of dances
30 + 4x
..
non member cost
6x
..
4x+30<6x
add -6x
4x-6x+30<0
-2x+30<0
add 2x
-2x+2x+30<2x
30<2x
30/2
15
x must be greater than 15
..
m.ananth@hotmail.ca
You can put this solution on YOUR website! Let = number of dances you need to attend to break even
Let = cost for member and non-member
For member:
For non-member:
When are the costs the same?
When you attend 16 dances, the cost as a member
is less than a non-member
check:
For 15 dances:
For member:
For non-member:
And for 16 dances:
For member:
For non-member:
OK
