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 inequality describes this scenario? Choose 1 answer: (A) 7.50+14 P 60 (C) 14+7.50 P 60

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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 $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 inequality describes this scenario? Choose 1 answer: (A) 7.50+14 P < 60 (B) 7.50+14 P > 60 (C) 14+7.50 P < 60 (D) 14+7.50 P > 60

Bytelearn · Accepted Answer

Express Total Cost: To write the inequality, we need to express the total cost that Jacque will pay for the pizzas and the delivery fee. The delivery fee is a fixed amount of $7.50, and each pizza costs $14. So, the total cost is the sum of the delivery fee and the cost of the pizzas, which can be represented as $7.50 + $14P, where P is the number of pizzas.Set Inequality: Jacque wants to keep the total cost under $60. This means that the total cost should be less than $60. Therefore, the inequality that represents this situation is $7.50 + $14P < $60.Check Answer Choices: Now we need to check the answer choices to see which one matches our inequality. The correct inequality is represented by option (A) 7.50 + 14P < 60.Confirm Correct Option: We can also check the other options to confirm that they do not represent the scenario correctly. Option (B) suggests the total cost is greater than $60, which is not what Jacque wants. Options (C) and (D) incorrectly combine the delivery fee with the number of pizzas, which does not match the given scenario.

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