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Task 3 Suppose you are having a birthday party at the local bowling alley. You a

ID: 3038770 • Letter: T

Question

Task 3

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

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

The more it costs, the fewer people you can invite.

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

$300

Set up an equation that shows the inverse relationship between the number of guests at your party and the price per bowler. Your answer to part (b) should be part of this equation.

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

Bowling alley 1 = $6.00 per person

Bowling alley 2 = $12.00 per person

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

Explanation / Answer

No. of guests that can be invited,N = $300/ price per bowler($),P

Thus, N=300/P

Now if we choose Bowling alley 1, P=$6

Thus N=300/6=50.

And if we choose Bowling alley 2, P=$12.

Thus N= 300/12=25.

Thus I would choose Bowling alley 1 for the party as I can invite 50 guests which is double of what I can invite in Bowling alley 2.

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