On weekends, Nick makes delicious pizzas and sells them to customers from his food truck. Over time, he realizes that the less he charges per pizza, the more pizzas he sells overall. His total revenue in dollars can be modeled by the expression p(64 – 2p), where p is the price per pizza in dollars. What does the quantity 64 – 2p represent in the expression? Choices: [[the price per pizza in dollars if Nick sells p pizzas][the number of pizzas Nick sells if he charges p dollars per pizza][Nick's total revenue in dollars if he charges p dollars per pizza][Nick's total revenue in dollars if he sells p pizzas]]

Question

On weekends, Nick makes delicious pizzas and sells them to customers from his food truck. Over time, he realizes that the less he charges per pizza, the more pizzas he sells overall. His total revenue in dollars can be modeled by the expression p(64 – 2p), where p is the price per pizza in dollars. What does the quantity 64 – 2p represent in the expression?   Choices: [[the price per pizza in dollars if Nick sells p pizzas][the number of pizzas Nick sells if he charges p dollars per pizza][Nick's total revenue in dollars if he charges p dollars per pizza][Nick's total revenue in dollars if he sells p pizzas]]

Bytelearn · Accepted Answer

Understand the revenue model: Understand the revenue model. Nick's total revenue is given by the expression p(64 – 2p), where p is the price per pizza. Here, we need to identify what the term (64 – 2p) represents within this context.Identify components of model: Identify the components of the revenue model. Total revenue is calculated as the product of the price per unit and the number of units sold. In the expression p(64 – 2p), 'p' is the price per pizza, so (64 – 2p) must represent the number of pizzas sold at that price.Match expression to choice: Match the expression to the correct choice. We have established that (64 – 2p) represents the number of pizzas sold at the price 'p'. Now we need to match this understanding to the correct choice provided.Eliminate incorrect choices: Eliminate incorrect choices. - The expression (64 – 2p) cannot be the price per pizza in dollars if Nick sells p pizzas, because 'p' is already representing the price per pizza. - It cannot be Nick's total revenue in dollars if he charges p dollars per pizza, because the total revenue is given by the entire expression p(64 – 2p), not just (64 – 2p). - It cannot be Nick's total revenue in dollars if he sells p pizzas, because again, the total revenue is the product of price and quantity, not just the quantity.Select correct choice: Select the correct choice. The correct choice is that (64 – 2p) represents the number of pizzas Nick sells if he charges p dollars per pizza.

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