SOLUTION: Will you help me with this? The cost of a school banquet is $75 plus $12 for each person attending. What linear function models this problem for the cost of 60 people?

Question 139751: Will you help me with this?
The cost of a school banquet is $75 plus $12 for each person attending. What linear function models this problem for the cost of 60 people?

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
What I think you really want is a linear function that models the cost for ANY number of people, and then use that model to calculate the cost for 60 people.

Let x be the number of people. Each one costs $12, so the cost for the people is 12x. But there is also the $75 that is charged whether anyone attends or not, so:

, where C is the cost function and x is the number of people who attend.

Now, you want to know the cost for 60 people. So just evaluate , which is to say, substitute 60 in place of x in your model and do the arithmetic.
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