You Are Given the Following Costs to Build a Square

question 33

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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Definitions:

Federal Income Taxes

Taxes levied by the federal government on the annual earnings of individuals, corporations, trusts, and other legal entities.

Withholding Allowances

Amounts exempted from an employee's income tax withholding, directly related to the number of dependents and personal situations.

Current Earnings

The net income that a company has generated over a specific period, excluding any non-operational or extraordinary items.

FICA Tax

A federal payroll tax that funds Social Security and Medicare, evenly split between employers and employees.