help with my writting exercise for this problem

chilledsoup

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Aug 17, 2005
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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, draw a graph, and determine an equation to calculate his profit.
b. Use the graph to estimate how many bird houses he would have to sell to break even.
c. Use the equation to determine how many bird houses he would have to sell to break even.
d. How many birdhouses would he have to sell in order to make a profit of $250.00?

Writing exercise: In this problem #3 you obtained the equation of a line in ordered to model the profit from selling bird houses. What is the difference between the domain of the linear function obtained and the domain within the context of the problem?
 
a) How far have you gotten with the "model", the equation relating how many he sells with the net profit he makes? You've listed his costs, you've related the selling price to the number "x" of units he sells, you've recalled that "profit" is the difference between income and costs, and... then what?

b) What is the definition of "break-even point"? So which point is this on the graph? What is the x-value there? What does "x" stand for? So what does this x-value mean?

c) What is the definition of "break-even point"? What does "y" stand for in the equation? So what does y need to be to find the break-even point? What is the value of x? What does this x-value mean?

d) What variable stands for "profit" in the equation? So where does "250" go in the equation?

e) What is the "domain" of a function? What is the particular domain of this particular function? What does this particular function measure/model? What does the x-value stand for? So what x-values make sense in the context of this model?

Please reply showing how far you have gotten. Thank you.

Eliz.
 
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