Question

Kent wants to buy a baseball cap with an original price of a dollars. Kent's baseball cap is on sale for 20% off the original price. Which statement represents the amount of money (before tax) that Kent will pay for his baseball cap?

A. He will pay 0.20 times the starting amount, a.

B. He will pay 0.80 times the starting amount, a.

C. He will pay $0.20 less than the starting amount, a.

D. He will pay $0.80 less than the starting amount, a.

Answer 1

Kent will pay 0.80 times the original price of the baseball cap, represented as 0.80 * a. This is because a 20% discount means subtracting 20% of the original price from itself, resulting in Kent paying 80% of the original price.

Step-by-step explanation:

The question asks us to determine how much Kent will pay for a baseball cap that is on sale for 20% off the original price. The original price of the cap is represented by a dollars. When an item is on sale for 20% off, it means Kent gets a discount of 20% on the original price. To find the sale price, you subtract the discount from the original price. The discount is calculated as 20% of the original price, which can be represented as 0.20 times a. So the discount amount is 0.20 * a. To find out how much Kent pays for the cap, you subtract this discount from the original price of the cap which gives a - 0.20 * a, or simply 0.80 * a since 1 - 0.20 = 0.80. Therefore, Kent will pay 80% of the original amount, which is 0.80 times the starting amount, a.