Write an equation for the linear function and use it to answer the given question.
-In the town of Oak Forest, a 2% local sales tax and a 9% state sales tax are charged on all retail sales. Let p be the before-tax amount of a purchase in dollars. Let T be the after-tax amount of the
Purchase. Find a linear equation that describes how T varies with p. What is the total price of an
Item that costs $50 before taxes?
A) $\mathrm { T } = 0.89 \mathrm { p } ; \$ 44.50$
B) $\mathrm { T } = 1.11 \mathrm { p } ; \$ 55.50$
C) $\mathrm { T } = 0.11 \mathrm { p } + 1 ; \$ 6.50$
D) $\mathrm { T } = 0.93 \mathrm { p } ; \$ 46.50$

Question

Write an equation for the linear function and use it to answer the given question.
-In the town of Oak Forest, a 2% local sales tax and a 9% state sales tax are charged on all retail sales. Let p be the before-tax amount of a purchase in dollars. Let T be the after-tax amount of the
Purchase. Find a linear equation that describes how T varies with p. What is the total price of an
Item that costs $50 before taxes? 
A) $\mathrm { T } = 0.89 \mathrm { p } ; \$ 44.50$
B) $\mathrm { T } = 1.11 \mathrm { p } ; \$ 55.50$
C) $\mathrm { T } = 0.11 \mathrm { p } + 1 ; \$ 6.50$
D) $\mathrm { T } = 0.93 \mathrm { p } ; \$ 46.50$

Quizplus · Accepted Answer

The total sales tax is 2% + 9% = 11%, so the total cost after tax is 100% + 11% = 111% of the before-tax price, or 1.11p. For a $50 item, T = 1.11 * $50 = $55.50.

Write an Equation for the Linear Function and Use It T=0.89p;$44.50\mathrm { T } = 0.89 \mathrm { p } ; \$ 44.50T=0.89p;$44.50

Write an Equation for the Linear Function and Use It $\mathrm { T } = 0.89 \mathrm { p } ; \$ 44.50$