Pregunta
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Jacque needs to buy some pizzas for a party at her office. She’s ordering
from a restaurant that charges a delivery fee and 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 .
Each pizza is cut into 8 slices, and she wonders how many total slices she
can afford.
Let represent the number of pizzas that Jacque buys.
  1. Which inequality describes this scenario?
    Choose 1 answer:
    (A)
    (B)
    ©
    (D)

Ask by Frazier Washington. in the United States
Mar 19,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

The correct inequality is .

Solución

We start by writing an expression for the total cost that Jacque pays for the pizzas. The cost consists of a constant delivery fee of plus per pizza. If she buys pizzas, then the total cost is given by
Jacque wants the total cost to be less than . This requirement is expressed as the inequality
Thus, the correct choice is (A).

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Mind Expander

To model Jacque’s situation, we need to consider the total cost consisting of the delivery fee and the cost of the pizzas. The inequality that represents this scenario is . This captures that the sum of the delivery fee and the cost of the pizzas must be less than . So the correct answer is (A).
Now, to maximize her pizza order, let’s solve that inequality. By subtracting from both sides, we get . Dividing both sides by gives . Since Jacque can only buy a whole number of pizzas, she can purchase a maximum of 3 pizzas. Multiplying this by 8 slices per pizza, she can enjoy a delightful total of 24 slices! What a pizza party that will be! 🍕

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