Hannah is deciding which tennis club to join. Club a charges $10 for one month trial membership and after the trial month, the regular membership fee is $15 per month. Club be charges $10 for a two month trial membership and then the regular membership is $20 per month write an equation to determine when the total cost at clubs will be the same
Equations and inequalities
- Thread starter Skyler 5
- Start date
mmm4444bot
Super Moderator
- Joined
- Oct 6, 2005
- Messages
- 10,902
Posting Guidelines (Summary)
Welcome to our tutoring boards! :) This page summarizes the main points from our posting guidelines. As our name implies, we provide math help (primarily to students with homework). We do not generally post immediate answers or step-by-step solutions. We don't do your homework. We prefer to...
www.freemathhelp.com
Hello. Please share what you've tried or thought about so far. (Have you picked a variable to represent number of elapsed months? We would use that to write expressions for modeling the club costs.) Otherwise, is there a specific part where you've become stuck? Thank you.
?
HallsofIvy
Elite Member
- Joined
- Jan 27, 2012
- Messages
- 7,763
For club a, n months, the cost for the first month is $10 then, for the remaining n-1 months, $15(n- 1), for a total of 10+ 15(n-1).
For club b, n months, the cost for the first two months is $10 then, for the remaining n-2 months, $20(n- 2), for a total of 10+ 20(n- 2).
Those will be the same when 10+ 15(n- 1)=10+ 20(n- 2). Solve that equation for n.