Questions: The price for purchasing tickets to a baseball game can be represented by the linear function y=44.95x 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 10 tickets.
a) Is the domain of this function discrete or continuous?
Discrete
Continuous
There is not enough information given to answer the question
b) Enter a list of three unique numbers from the domain of this function separated by a comma.
Transcript text: The price for purchasing tickets to a baseball game can be represented by the linear function $y=44.95 x$ 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 10 tickets.
a) Is the domain of this function discrete or continuous?
Discrete
Continuous
There is not enough information given to answer the question
b) Enter a list of three unique numbers from the domain of this function separated by a comma.
Solution
Solution Steps
Step 1: Determine the domain of the function
The function \( y = 44.95x \) represents the total price \( y \) in dollars for purchasing \( x \) tickets. Each customer is limited to purchasing a maximum of 10 tickets. Therefore, the domain of \( x \) is the set of integers from 1 to 10, inclusive. Since \( x \) can only take integer values within this range, the domain is discrete.
Step 2: Answer part (a)
The domain of the function is discrete because \( x \) can only take integer values (1, 2, 3, ..., 10).
Step 3: Answer part (b)
A list of three unique numbers from the domain of this function could be \( 1, 5, 10 \). These are valid values for \( x \) within the domain.
Final Answer
a) The domain is discrete.
b) A list of three unique numbers from the domain is \( \boxed{1, 5, 10} \).