Question

Suppose you are having a birthday party at the local bowling alley. You’re trying to figure out how many people you can afford to invite.
1) The number of guests you can invite to the party varies inversely with the price per bowler at the alley. Explain what this means.

2) How much total money are you willing to spend to host this bowling party?
Willing to spend: $ _

3) Set up an equation that shows the inverse relationship between the number of guests at your party and the price per bowler. Your answer for part 2 should be part of your equation.

y=


4) Research two local bowling alleys. Record the price per bowler at each of these two alleys.
Bowling Alley #1 $ /bowler
Bowling Alley #2 $ /bowler

5) Calculate how many guests you will be able to invite to your party at each of the bowling alleys.
Alley Total
Bowling Alley #1
Bowling Alley #2


Which alley would you choose for your party? Why?

Answer 1

1) The number of guests you can invite to the party varies inversely with the price per bowler at the alley. This means that the higher the number of guests you invite, the lower the price per bowler and vice versa.

2) The amount of money you are willing to spend will be according to your discretion. Let us assume that the money you are willing to spend is represented by M.

3) y = M/x
where: M is the amount of money you are willing to spend
x is the number of guests your are inviting
y is the price per bowler