Thread: A DVD club charges a $15 membership fee and $3 for each DVD you rent..?

A DVD club charges a $15 membership
fee and $3 for each DVD you rent. Another
DVD club charges a $10 membership fee
and for each DVD rental. For what number

of DVD rentals is the cost of both clubs the same?

DVD Club 1: DVD Club 2:
15+3=18 (Membership+1 DVD) 10+4=14
18+3=21 (2 DVD's) 14+4=18
21+3=24 (3 DVD's) 18+4=22
24+3=27 (4 DVD's) 22+4=26
27+3=30 (5 DVD's) 26+4=30
5 DVD RENTAL.

Let:

n = number of rentals

club 1 is $15 plus $3 per rental, so ...

15 + 3n

club 2 is $10 plus $4 per rental, so ...

10 + 4n

Where do they meet? set one expression equal to the other and solve for n...

15 + 3n = 10 + 4n
5 = n

At 5 rentals, the prices for both clubs are the same.