Question

Marque is selling bags of cotton candy at a fair. He spent $60 on supplies for making the cotton candy. He plans to sell the bags for $5 each. The functions of his profit can be modeled by c(x) = 5x-60.

a) Is the function Discrete or Continuous?
A) Discrete
B) Continuous

Answer 1

The profit function c(x) = 5x - 60 for selling cotton candy bags is discrete because bags of cotton candy can only be sold in whole numbers, not fractions.

Step-by-step explanation:

The question is asking to identify whether the function c(x) = 5x - 60, representing the profit from selling bags of cotton candy, is Discrete or Continuous. A discrete function consists of isolated points, typically when dealing with a countable set of values, such as the number of bags sold. A continuous function, on the other hand, involves an unbroken set of values, which means that it can take on any value within a range. In the case of Marque selling bags of cotton candy, the function is discrete because he cannot sell a fraction of a bag; he can only sell whole numbers of bags. Therefore, the answer is (A) Discrete.