Final answer:
The equation to represent the total cost of popcorn when each package costs $2.50 and p packages are bought is Total Cost = $2.50 × p. It's a simple linear relationship where the total cost is determined by multiplying the price per package by the number of packages purchased.
Step-by-step explanation:
The question asks for the equation that represents the total cost of popcorn at the movie theater, where each package sells for $2.50, and p packages of popcorn are purchased.
To calculate the total cost, we would multiply the cost per package by the number of packages. This gives us: Total Cost = $2.50 × p. This represents a simple linear equation that shows a direct relationship between the total cost and the number of packages bought.
If we use the example of personal pizzas priced at $2 each, the demand equation Qd = 16 - 2P is used to calculate the quantity demanded based on the price. The principle is similar, but instead of the quantity demanded, we are interested in the total cost of the popcorn.