While shopping, found a pair of boots on sale for 25% off of the original price. Megan calculates the final cost of the boots by first deducting the 25% and then adding the 6% sales tax. A. Write an expression to represent Megan's scenario if the original price of the boots was x dollars.

Question

Mathematics

Shaw

22 October, 23:27

While shopping, found a pair of boots on sale for 25% off of the original price. Megan calculates the final cost of the boots by first deducting the 25% and then adding the 6% sales tax. A. Write an expression to represent Megan's scenario if the original price of the boots was x dollars.

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Oscar Everett · Answer 1

Answer: the expression is 0.795x

Step-by-step explanation:

Let x represent the original price of the boots.

While shopping, Meghan found a pair of boots on sale for 25% off the original price. The value of 25% off the original price of the boot is

25/100 * x = 0.25x

If she deducts the the 25% first, the price of the boot would be

x - 0.25x = 0.75x

The sales tax was 6%. The value of the sales tax on the discounted price of the boot is

6/100 * 0.75x = 0.045x

Therefore, the expression to represent Megan's scenario is

0.75x + 0.045x

= 0.795x