Question

Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a $7.50 delivery fee and $14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $60. Each pizza is cut into 8 slices, and she wonders how many total slices she can afford. Let P represent the number of pizzas that Jacque buys. Which of the following inequalities correctly represents the situation?

A. 7.50 + 14P < 60
B. 14 + 7.50P < 60

Answer 1

The correct inequality that represents the situation is A. 7.50 + 14P < 60. To calculate the total cost, we add the delivery fee and the cost per pizza multiplied by the number of pizzas. This total should be less than $60.

Step-by-step explanation:

The correct inequality that represents the situation is A. 7.50 + 14P < 60.

To understand why this is the correct inequality, let's break it down:

1. The delivery fee is $7.50 and is a fixed cost that Jacque has to pay regardless of how many pizzas she orders. Therefore, we add this fixed cost 7.50 to the total.
2. The cost per pizza is $14, and since Jacque wants to buy as many pizzas as she can, we multiply this cost by the number of pizzas, represented by P. This gives us 14P.
3. We add the delivery fee (7.50) and the cost of pizzas (14P) together, and the total should be less than $60 (to keep the total cost under $60).

Therefore, the correct inequality is 7.50 + 14P < 60.