Final answer:
To find the discounted price of the headphones, multiply the original price $36.80 by 40% to get the discount amount of $14.72. Subtract this from the original price to reach Emily's payment amount, which is $22.08.
Step-by-step explanation:
To calculate the sale price of an item after a discount, you need to find how much money the discount is worth and then subtract that from the original price. In Emily's case, the headphones are $36.80, and she receives a 40% discount.
First, convert the percentage discount to a decimal:
40% = 0.40
Next, calculate the discount amount by multiplying the original price by the decimal discount:
$36.80 × 0.40 = $14.72
Then, subtract the discount from the original price to find out how much Emily paid:
$36.80 - $14.72 = $22.08
Therefore, Emily paid $22.08 for the headphones, which corresponds to option b.