Question

A golf course charges you $54 for a round of golf using a set of their clubs, and $42 if you have your own clubs. You decide to buy a set of clubs for $280 and your friend wants to just use the course's clubs.a. Write an equation to describe the cost for x number of rounds for you.b. write an equation to describe the cost for x number of rounds for your friend.c. How many rounds must you play to recover the cost of the clubs? (Find the break-even point).

Answer 1

You must play 24 rounds to recover the cost of the club

Explanation:

The amount golf charged for using their set clubs = $54

They charged $42 for using personal course

let x be the number of rounds played

let y be the total cost of the clubs

Since you will be buying a set of clubs worth $280

Then, the first equation is

a. y = 280 + 42x

b. y = 54x

c . Calculate the number of rounds that must be played to recover the cost of the clubs

To calculate this, we need to equate equations a and b together

280 + 42x = 54x

Collect the like terms

280 = 54x - 42x

280 = 12x

Isolate x by dividing through by 12

280/12 = 12x/12

x = 23.3333

Hence, you must play 24 rounds to recover the cost of the club