A factory manufactures widgets based on customer orders. If a customer's order is for less than w widgets, the customer's cost per widget is d dollars. If a customer's order is for at least w widgets, the customer's cost per widget is decreased by c cents for each widget ordered over w widgets. A customer's total cost is t. Which of the following functions would best model the situation given above?

Question

Reginald Hill

Mathematics

12 August, 08:57

A factory manufactures widgets based on customer orders. If a customer's order is for less than w widgets, the customer's cost per widget is d dollars. If a customer's order is for at least w widgets, the customer's cost per widget is decreased by c cents for each widget ordered over w widgets. A customer's total cost is t. Which of the following functions would best model the situation given above?

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Answers (1)

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Alberto Leach · Answer 1

Piecewise function model

Step-by-step explanation:

According to the given statement a factory manufactures widgets based on customer orders. If a customer's order is for less than w widgets, the customer's cost per widget is d dollars.

customer order < widgets

If a customer's order is for at least w widgets, the customer's cost per widget is decreased by c cents for each widget ordered over w widgets. A customer's total cost is t.

customer order > widgets

We can notice that we have two different conditions. In this type of question where there are different conditions for different types of domain we use piecewise function.

With different conditions, the cost is different, therefore piecewise function model would be the best option for the situation ...