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.

Answer 1

To find the final price of a hat that is discounted by 30% off the original price of $20, Terrance can use the following expression:

1. Calculate the discount amount:
\[
\text{Discount} = \text{Original Price} \times \text{Discount Rate} = 20 \times 0.30 = 6
\]

2. Subtract the discount from the original price to get the final price:
\[
\text{Final Price} = \text{Original Price} - \text{Discount} = 20 - 6 = 14
\]

So, the final price of the hat is $14.

Alternatively, he could use this expression directly to find the final price:
\[
\text{Final Price} = \text{Original Price} \times (1 - \text{Discount Rate}) = 20 \times (1 - 0.30) = 20 \times 0.70 = 14
\]

In either case, the final price of the hat after the 30% discount is $14.