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Answer :
To solve the question about which scenario is modeled by the equation [tex]\((x)(0.65) = \$36.48\)[/tex], let's break it down step-by-step:
1. Understand the Equation:
- The equation [tex]\((x)(0.65) = \$36.48\)[/tex] tells us that 65% of the original price [tex]\(x\)[/tex] is equal to [tex]$36.48.
- This implies that $[/tex]36.48 is the sale price after applying a discount, which is 65% of the original cost.
2. Identify the Scenario:
- The equation is saying that the sale price (65% of the original price) equals [tex]$36.48.
- Therefore, the comparison and solving revolve around finding the original price when the sale makes up 65% of it.
3. Match with the Given Options:
- We are looking for the scenario where 65% of the original price is the sale price, before which the boots were sold at $[/tex]56.12.
- The correct interpretation is: "A pair of boots is on sale for 65 percent of the original cost. The original price of the boots is [tex]$x, $[/tex]56.12."
Given this breakdown, the scenario correctly matching the equation [tex]\((x)(0.65) = \$36.48\)[/tex] is:
A pair of boots is on sale for 65 percent of the original cost. The original price of the boots is [tex]$x, \$[/tex]56.12$.
1. Understand the Equation:
- The equation [tex]\((x)(0.65) = \$36.48\)[/tex] tells us that 65% of the original price [tex]\(x\)[/tex] is equal to [tex]$36.48.
- This implies that $[/tex]36.48 is the sale price after applying a discount, which is 65% of the original cost.
2. Identify the Scenario:
- The equation is saying that the sale price (65% of the original price) equals [tex]$36.48.
- Therefore, the comparison and solving revolve around finding the original price when the sale makes up 65% of it.
3. Match with the Given Options:
- We are looking for the scenario where 65% of the original price is the sale price, before which the boots were sold at $[/tex]56.12.
- The correct interpretation is: "A pair of boots is on sale for 65 percent of the original cost. The original price of the boots is [tex]$x, $[/tex]56.12."
Given this breakdown, the scenario correctly matching the equation [tex]\((x)(0.65) = \$36.48\)[/tex] is:
A pair of boots is on sale for 65 percent of the original cost. The original price of the boots is [tex]$x, \$[/tex]56.12$.
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