[math]\frac{x+7}{x}=1+\frac{7}{x}[/math]
[math]\frac{x}{x+7}=1+\frac{x}{7}[/math]
[size=150]Let [math]c[/math] be the function that gives the average cost per book [math]c(x)[/math], in dollars, when using an online store to print [math]x[/math] copies of a self-published paperback book. Here is a graph of [math]c(x)=\frac{120+4x}{x}[/math]. [/size]
What is the approximate cost per book when 50 books are printed? 100 books?[br]
The author plans to charge $8 per book. About how many should be printed to make a profit?[br]
What is the value of [math]c(x)[/math] when [math]x=\frac{1}{2}[/math]? [br]
How does this relate to the context?
What does the end behavior of the function say about the context?[br]
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[/img]
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[/img]
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[/img]
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[/img]
Where do you see the [b]horizontal asymptote[/b] of the graph in the expressions for the functions?[br]
[math]a(x)=\frac{\frac{1}{2}x+1}{x-1}[/math][br][br]Predict where you think the vertical and horizontal asymptotes of [math]a(x)[/math] will be. Explain your reasoning.[br]