Question

Which scenario is modeled by the equation (x) (0.65) = 36 dollars and 48 cents? A pair of boots is on sale for 35 percent off. The sale price of the boots is x, $56.12. A pair of boots is on sale for 65 percent off. The sale price of the boots is x, $56.12. A pair of boots is on sale for 35 percent off. The original price of the boots is x, $56.12 A pair of boots is on sale for 65 percent off. The original price of the boots is x, $56.12.

Answer 1

The only scenario that accurately matches the given equation is a pair of boots is on sale for 65 percent off, and the original price of the boots is x, $56.12.

Step-by-step explanation:

The equation (x) (0.65) = 36 dollars and 48 cents, or (x)(0.65) = 36.48, models the scenario where:

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

Here's why:

Let x be the original price of the boots.

The sale price is 65% off, which means the customer pays 0.65 times the original price.

We are given that the sale price is $36.48, which can be written as 0.65x = 36.48.

Therefore, the original price (x) can be calculated as:

x = 36.48 / 0.65 = $56.12

This matches the information provided in the fourth option, which includes the original price and the 65% discount.

The other options are incorrect for the following reasons:

Option 1 and 3: These options mention a 35% discount, which does not correspond to the 65% discount in the equation.

Option 2: This option states that the sale price is x, which is incorrect. The sale price is calculated using the equation and the original price.

Answer 2

A pair of boots is on sale for 65 percent off. The original price of the boots in x, $56.12

Step-by-step explanation:

The decimal that is initially being multiplied by x will always be the tax amount so .65 equal 65% so they match. And once you go through with the equation you will see that the number you end up with is 56.12 so it is between original price and sales price to see if you get the correct answer. So seeing as the scenario they gave us above was for a discount or VAT price we would be lead to assume that we are looking for the ORIGINAL price.