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When purchasing goods from a store, there is a $30\%$ sales tax applied to the price. This tax increases the price of the goods sold. $\newline$ Which represents the final price after the increase as a scale factor? $\newline$ (A) $k=0.30$ $\newline$ (B) $k=0.70$ $\newline$ (C) $k=1.03$ $\newline$ (D) $k=1.30$

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Evaluate two-variable equations: word problems

Full solution

Q. When purchasing goods from a store, there is a

30\%

sales tax applied to the price. This tax increases the price of the goods sold.

\newline

Which represents the final price after the increase as a scale factor?

\newline

(A)

k=0.30

\newline

(B)

k=0.70

\newline

(C)

k=1.03

\newline

(D)

k=1.30

Consider Original Price: To find the scale factor that represents the final price after a $30$ % sales tax increase, we need to consider the original price as $100\%$ and add the $30\%$ tax to it. $\newline$ Calculation: $100\% + 30\% = 130\%$ $\newline$ To convert this percentage to a scale factor, we divide by $100$ . $\newline$ Calculation: $130\% \div 100 = 1.30$

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