Question

Use function notation to represent the cost of the item (in dollars) after the two coupons are applied if a customer purchases an item for $120 and applies a "35% off" coupon first, followed by a "$15 off" coupon.

Answer 1

To calculate the final cost of the item with two coupons applied, convert the 35% discount to a decimal and multiply by the original $120, subtract this discount, and then subtract the $15 coupon. The function C(x) = $63 represents the cost after both discounts are applied to the original price of $120.

Step-by-step explanation:

To represent the cost of an item after the two coupons are applied using function notation, we need to apply each of the discounts in sequence to the original price of the item.

Let C(x) be the cost after applying the coupons to the original price x. Assuming the original price of the item is $120, we first apply the 35% off coupon. To find this discount, we convert the percentage to a decimal and multiply by the price:

35% off of $120:
$120 × 0.35 = $42

Now we subtract the discount from the original price:

$120 - $42 = $78

Next, we apply the $15 off coupon to the new price:

$78 - $15 = $63

Therefore, the final cost of the item, represented using function notation, would be C(x) = $63 when x is the original price of $120.