You Are Given the Following Costs to Build a Square

question 562

Essay

You are given the following costs to build a square deck for your house: $$\begin{array} { | l | c | c | c | c | c | c | c | c | c | c | c | c | } \hline \text { Width (ft) } & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 \\\hline \text { Cost (\$) } & 150 & 255 & 350 & 500 & 650 & 800 & 1000 & 1200 & 1450 & 1700 & 1950 & 2250 \\\hline\end{array}$$
a. Use re-expressed data to create a model that predicts the cost of the deck based on the
width.
b. Why do you think that your model is appropriate?
c. Find the predicted cost of a square deck that is 10.5 feet wide.
d. Is it reasonable to use this model to predict the cost of a square deck that is 20 feet wide?
Explain.

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