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Q1. A factory makes and sells cartons of chewing gum.

The factory produces at most 500 cartons per day.
Each carton sells for $25

What is the best interval that describes the domain of the function that represents , the total sales in dollars, for making x cartons in one day?

Respuesta :

sqdancefan

Answer:

  [0, 500]

Step-by-step explanation:

We know the factory will not produce a negative number of cartons, and the number of cartons is limited to 500 or less. These identify the boundaries of the useful domain of the sales function. In interval notation, the domain is ...

  [0, 500]

raphealnwobi

The domain of the function is 0 ≤ x ≤ 500

Let x represent the total number of cartons made in one day. Since the factory can produce at most 500 cartons per day, hence the possible values of x is:

0 ≤ x ≤ 500

Let P(x) represent the amount of money made by selling x cartons. Since each carton sells for $25, hence:

P(x) = 25x

When x = 0; P(0) = 25(0) = 0

When x = 500; P(500) = 25(500) = 12500

Hence the possible values of P(x) is:

0 ≤ P(x) ≤ 12500

The domain of a function is the set of all possible input values. In this case, the input values is x, hence the domain is:

0 ≤ x ≤ 500

Find out more at: https://brainly.com/question/13113489

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