The price of a pair of headphones is $59. You have a coupon that lowers the price by 80%. What is the price of the pair of headphones after using the coupon?

Question

Identify and label the point on the double number line that represents the original price of the pair of headphones.
dollars
0
0%
20%
40%
60%
80%
100%
120%
140%
160%
180%

Answer 1

To find the price of the headphones after applying an 80% discount, follow these steps:

1. Calculate the amount of the discount: \[ \text{Discount} = \text{Original Price} \times \left(\frac{80}{100}\right) = 59 \times 0.8 = 47.20 \]

2. Subtract the discount from the original price to find the final price: \[ \text{Final Price} = \text{Original Price} - \text{Discount} = 59 - 47.20 = 11.80 \]

So, the price of the pair of headphones after using the coupon is $11.80.

To identify and label the point on the double number line:

• The original price of $59 corresponds to 100%.
• The value of $11.80 corresponds to the remaining 20% of the price after applying the 80% discount.

You could label the points as follows:

• Point A (Original Price): $59 at 100%
• Point B (Final Price): $11.80 at 20%

In this scenario, you would represent Point A at 100% and Point B at 20% on the number line.