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
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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.
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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.