SOLUTION: The golf course you play at charges $22 per round of golf. You can either rent golf clubs at the course for $8 or you can buy your own set of clubs for $160. Write and solve an ine

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Question 511904: The golf course you play at charges $22 per round of golf. You can either rent golf clubs at the course for $8 or you can buy your own set of clubs for $160. Write and solve an inequality to find the number of rounds of golf you need to play in order for the cost of purchasing clubs to be less than the cost of renting clubs. Let r(variable) represent the number of rounds of golf.
Please help me with this word problem and thank you for your consideration in this matter.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Set up the two cost equations, 1. for renting clubs and 2. for buying clubs.
1) C%5B1%5D+=+22r%2B8r "...charges $22 per round (r) of golf plus $8 for renting the clubs."
2) c%5B2%5D+=+22r%2B160 "...charges $22 per round of golf plus you pay $160 for your own clubs."
You want C%5B2%5D+%3C+C%5B1%5D The cost of purchasing clubs to be less than the cost of renting clubs.
22r%2B160+%3C+22r%2B8r Simplify.
22r%2B160+%3C+30r Subtract 22r from both sides.
160+%3C+8r Divide both sides by 8.
20+%3C+r or r+%3E+20
You must play more than 20 rounds in order for the cost of purchasing your own clubs to be less than the cost of renting clubs.