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The price for purchasing tickets to a baseball game can be represented by the linear function =30.95y=30.95x, where y is the total price in dollars and x is the number of tickets purchased. Each customer is limited to purchasing a maximum of 8 tickets.

a) Is the domain of this function discrete or continuous?

A) Discrete
B) Continuous
C) There is not enough information given to answer the question

1 Answer

3 votes

Final answer:

The domain of the function representing the total price of baseball game tickets, where y=30.95x, is discrete because it represents the countable, whole number of tickets purchased, limited to a maximum of 8 tickets.

Step-by-step explanation:

The price for purchasing tickets to a baseball game can be represented by the linear function y=30.95x, where y is the total price in dollars and x is the number of tickets purchased. In this scenario, you can only purchase whole number quantities of tickets, meaning you can purchase 1, 2, 3, and so on, up to 8 tickets. Since the variable representing the number of tickets can only take on whole number values, it is a discrete variable. Therefore, the domain of this function is discrete because you cannot purchase a fraction of a ticket, and it is constrained to whole numbers between 1 and 8.

Looking at reference points, discrete variables include the number of books purchased or the number of books sold, as these also represent countable, whole number amounts. Continuous variables, in contrast, would represent quantities that can take on any value within a given range, such as the amount of money paid or received, which can include any number within a range, not just whole numbers.

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