Suppose youre having a birthday party at the local bowling a

Suppose you\'re having a birthday party at the local bowling alley. You\'re trying to figure out how many people you can afford to invite.

A. The number of guests you can invite to your party varies inversely with the price per bowler at the alley. Explain what this means.

B. How much total money are you willing to spend to host this bowling party?

C. 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 B should be part of this equation.

D. Research two local bowling alleys. Record the price per bowler at each of these two alleys.

E. Calculate how many guest you will be able to invite to your party at each of the bowling alleys. Which alley would you choose for your party? Why?

Solution

A. The number of guests you can invite to your party varies inversely with the price per bowler at the alley. Explain what this means.

It means if i invite more no. of guests to alley then the price per bolwer in the alley would be less

Ex: 100 guests and $10 per bolwer , 200 guests and $ 6  per bolwer

B) Lets say i am willing to spend $400 for the events

C) Let no of guest be g and price per bowler be b:

g = k/b where k is constant

g*b = total expenditure = no. of guestx price per bolwer = $ 400

g*b = 400

D) Alley 1 : price per bowler = $ 5

Alley 1 : price per bowler = $ 10

E) No. of guests i can invite at alley1 = : g*b =400

g = 400/5 = 80 guests

No. of guests i can invite at alley2 = g = 400/10 = 40 guests

I would choose alley 2 as i ama able to invite more guests