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November 13th, 2013, 06:45 PM   #1
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Find the model equation for this world problem?

A church is bringing a group of its members to a "clean comedians" show. If they bring 15 people, it will cost $10 each. For each additional person the church brings, the price per ticket will go down $0.20. Groups are limited to 35 people because of the seating capacity of the auditorium.

I'm having a hard time thinking of this equation. I only know that it's 150 + something. I've tried multiple attempts to use .2x or to the power of x, but it's just completely trial and error. Can anyone help? This equation is on the tip of my tongue. :P
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November 13th, 2013, 07:00 PM   #2
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Re: Find the model equation for this world problem?

Let c = the total cost for the group.
Let n = the number of people coming
Let t = the ticket price per person

The value of t depends on the values of n.

The base ticket price is $10.

The ticket price goes down by $.2 for every person over 15 who comes.

So t = $10 - .2(n-15)

The rest should be easy.
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November 14th, 2013, 02:58 AM   #3
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Quote:
Originally Posted by Ch13
For each additional person the church brings, the price per ticket will go down $0.20.
Does that mean the ticket price is reduced for the entire group or just the additional person?
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