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Algebra
Question

(Modeling) E-Filing Tax Returns The percent of ta...

(Modeling) E-Filing Tax Returns The percent of tax returns filed electronically in \(2001\) was \(30.7 \%\) . In \(2013\) , the figure was \(82.9 \%\) . (Source: Internal Revenue Service.)

(a) Use the information given for the years \(2001\) and \(2013\) , letting \(x = 0\) represent \(2001 , x = 12\) represent \(2013\) , and \(y\) represent the percent of returns filed elec- tronically, to find a linear equation that models the data. Write the equation in slope-intercept form. Interpret the slope of the graph of this equation.

(b) Use the equation from part (a) to approximate the percent of tax returns that were filed electronically in \(2009\) .

Answer

\(\left. \begin{array} { l } { \text { 59. (a) } y = 4.35 x + 30.7 \text { ; The slope } 4.35 \text { indicates that } } \\ { \text { the percent of returns filed electronically rose an average of } } \\ { 4.35 \% \text { per year during this period. } \quad \text { (b) } 65.5 \% } \end{array} \right.\)

Solution
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