Answer :
To solve the problem, we need to determine which scenario is represented by the equation [tex]\((x)(0.65) = \$36.48\)[/tex].
Let's break down what this equation means:
1. Understanding the Equation:
- The equation [tex]\((x)(0.65) = \$36.48\)[/tex] suggests that 65% of a certain amount [tex]\(x\)[/tex] equals \[tex]$36.48.
2. Interpreting "65 percent":
- If something is being sold for 65% of its original price, it means the amount we pay is 65% of what it originally cost.
3. Identifying the Scenario:
- We are given that 65% of the original price equals the sale price, which is \$[/tex]36.48.
- This implies the boots are on sale for 65% of the original price.
4. Scenario Options:
- The options mention two key numbers: a sale price and an original price.
- According to the equation, the original price must be higher since 65% of it is [tex]\(\$36.48\)[/tex].
5. Matching with the Correct Option:
- The scenario that fits is: "A pair of boots is on sale for 65 percent of the original cost. The original price of the boots is [tex]\(x, \$56.12\)[/tex]."
Therefore, the scenario described by the equation is that a pair of boots is on sale for 65 percent of the original cost, and the original price of the boots is [tex]\(x\)[/tex], which calculates to approximately \$56.12.
Let's break down what this equation means:
1. Understanding the Equation:
- The equation [tex]\((x)(0.65) = \$36.48\)[/tex] suggests that 65% of a certain amount [tex]\(x\)[/tex] equals \[tex]$36.48.
2. Interpreting "65 percent":
- If something is being sold for 65% of its original price, it means the amount we pay is 65% of what it originally cost.
3. Identifying the Scenario:
- We are given that 65% of the original price equals the sale price, which is \$[/tex]36.48.
- This implies the boots are on sale for 65% of the original price.
4. Scenario Options:
- The options mention two key numbers: a sale price and an original price.
- According to the equation, the original price must be higher since 65% of it is [tex]\(\$36.48\)[/tex].
5. Matching with the Correct Option:
- The scenario that fits is: "A pair of boots is on sale for 65 percent of the original cost. The original price of the boots is [tex]\(x, \$56.12\)[/tex]."
Therefore, the scenario described by the equation is that a pair of boots is on sale for 65 percent of the original cost, and the original price of the boots is [tex]\(x\)[/tex], which calculates to approximately \$56.12.
