High School

Which scenario is modeled by the equation [tex](x)(0.65) = \$36.48[/tex]?

A. A pair of boots is on sale for 35 percent off. The sale price of the boots is \$56.12.

B. A pair of boots is on sale for 65 percent off. The sale price of the boots is \$56.12.

C. A pair of boots is on sale for 35 percent off. The original price of the boots is \$56.12.

D. A pair of boots is on sale for 65 percent off. The original price of the boots is \$56.12.

Answer :

The scenario modeled by the equation (x)(0. 65) = $36. 48 is:

A pair of boots is on sale for 35 percent off. The original price of the boots is x, $56.12.

The equation (x)(0.65) = $36.48 represents the sale price of the boots after a discount of 35 percent.

Solving for x,

(x)(0.65) = $36.48

x = $36.48 / 0.65

x = $56.12

So the original price of the boots was $56.12.

Therefore, the scenario modeled by the equation is that a pair of boots is on sale for 35 percent off, and the original price of the boots is $56.12.

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