Question

The function f(x)=18x represents the price Vincenzo's Pizzeria charges for x large specialty pizzas. The pizzeria is running a promotion for 20% off total orders on Tuesdays.

Which function p(x) represents the total cost of ordering large specialty pizzas on a Tuesday?

Answer 1

The function representing the price of large specialty pizzas at Vincenzo's Pizzeria with a 20% discount on Tuesdays is p(x) = 14.4x.

Step-by-step explanation:

The function f(x) = 18x represents the regular price Vincenzo's Pizzeria charges for x large specialty pizzas. When applying a 20% discount, we must calculate the new price after the discount has been applied. To find this, you multiply the original price by (1 - discount percentage).

The discount function p(x) would be as follows:

• p(x) = f(x) × (1 - 0.20)
• p(x) = 18x × 0.80
• p(x) = 14.4x

So, the function p(x), which represents the total cost of ordering x large specialty pizzas on a Tuesday after the 20% discount is applied, is p(x) = 14.4x.