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Unit 1, Activity 1, Solving Problems Using Mathematical Modeling with
Answers
Blackline Masters, Advanced Math – PreCalculus
Page 15
Louisiana Comprehensive Curriculum, Revised 2008
d. Explain which model would be a better buy.
A graph of the two lines on the same coordinate system show that by the 23
rd
month
heater 1 becomes the more expensive buy.
Since water heaters last for quite a few years,
the second heater with its higher energy efficiency is the better buy.
3
A craftsman making decorative bird houses has invested $350.00 in materials.
He
plans to sell his houses at craft and garden shows for $14.99.
a. Set up a model, determine the equation, and draw a graph that can be used to
calculate his profit.
The model needed is Profit = Revenue – Cost
P = 14.99n – 350
b. Graph that equation and use it to estimate how many bird houses he would have
to sell to break even.
On the graph the break even point is the xintercept
≈
24 bird houses.
The graph
is really a series of points with the domain the whole numbers.
c. Use the equation to determine how many bird houses he would have to sell to
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 Fall '08
 GERMAN
 Calculus, PreCalculus

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