Question

What will be the approximate number of bags of candy sold if the price is raised to $3.00 per bag at the theater, given that the demand D for candy is inversely related to the price p and when the price was $2.25 per bag, 60 bags were sold?

A) 45 bags
B) 40 bags
C) 30 bags
D) 20 bags

Answer 1

The approximate number of bags of candy sold at the price of 3.00 per bag would be 45 bags when the demand is inversely related to the price.

Step-by-step explanation:

To determine the approximate number of bags of candy sold if the price is raised to 3.00 per bag at the theater, we should apply the concept of inverse variation that is given by the function D = k/p, where D is the demand, p is the price, and k is the constant of variation. Since we know that when p = 2.25, D = 60 bags, we can find k by multiplying: k = p * D = 2.25 * 60. Once we have calculated k, we can find the new demand D when p = 3.00. The steps are as follows:

1. Calculate the constant k: k = 2.25 * 60 = 135.
2. Use the constant k to find the new demand at p = 3.00: D = k / p = 135 / $3.00.
3. Calculate the new demand: D = 45 bags.

Therefore, the approximate number of bags sold at the new price of 3.00 per bag would be 45 bags, which is option A).