Question

Suppose that demand, D, for a particular product is given by the function D = 100 - 2p, where p is the price in dollars of the product and D is the number of products that can be sold at that price. What does the slope of this function mean in the context of the problem?

Answer 1

D = 100 - 2p

Where p is the price in dollars of the product and D is the number of products that can be sold at that price

And we need to interpret the slope of this function mean in the context of the problem. And for this case the slope is m=-2 and it means that for every increase in the price in 1 $ we will have a decrease the number of products in two units

Explanation:

For this problem we know the following function given:

D = 100 - 2p

Where p is the price in dollars of the product and D is the number of products that can be sold at that price

And we need to interpret the slope of this function mean in the context of the problem. And for this case the slope is m=-2 and it means that for every increase in the price in 1 $ we will have a decrease the number of products in two units