Question

Terrance used this expression to find the final price, in dollars, of a hat that is discounted 30% off the original price of $20.
20 - (20 x 0.3)

Which of the following is an equivalent expression?

A. 20 - 0.7

B. 0.3(20)

C. 20 - 0.3

D. 0.7 (20)

Answer 1

To find the final price of the hat that is discounted 30% off the original price of $20, we can break it down like this:

The discount can be calculated as:
- 30% of $20 = 0.3 x 20 = $6

To find the final price after the discount, we subtract the discount from the original price:
- Final price = Original price - Discount = 20 - (0.3 x 20)

We can also express the final price directly by recognizing that a 30% discount means you pay 70% of the original price:
- Final price = 0.7 x 20

Now, let's check the answer choices given:

A. \( 20 - 0.7 \) — This is not equivalent to the expression we derived.

B. \( 0.3(20) \) — This is just the amount of the discount, not the final price.

C. \( 20 - 0.3 \) — This is not equivalent to the expression.

D. \( 0.7(20) \) — This is equivalent to the final price expression we derived since it represents paying 70% of the original price.

Thus, the equivalent expression is:

**D. 0.7(20)**