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​Algebra 1   State Test Practice

Modeling with a Quadratic Function

9/15/2018

 
The manager of a company uses the function shown to model its profit based on the price of a product in dollars, x.

f(x) = (x - 2)(53 - x)
​
A.)  What is the minimum price, 
in dollars, to avoid a loss?
B.)  What is the maximum price, 
in dollars, to avoid a loss?
C.)  What is the price, in dollars, that 
results in the greatest profit?

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Using a System of Equations

9/14/2018

 
A total of 300 children and adults attended a school play.  There were 21 times as many children in attendance as there
were adults.

This situation is modeled by the given system of equations, where a represents the number of adults and c represents the
number of children.

c = 21a
a + c = 330

How many children attended the play?

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