To raise money, a school band is selling tickets to a breakfast. The graph on the coordinate grid below shows the functional relationship between the number of tickets sold and the revenue.

The graph shows revenue in dollars on vertical axis and number of tickets sold on horizontal axis. A segment from (0, 0) to (80, 400).

What is the domain of the function?

A.
integers from 0 to 400

B. real numbers from 0 to 500

C.
integers from 0 to 80

3 answers

To determine the domain of the function represented by the graph you described, we need to consider the number of tickets sold, which is plotted on the horizontal axis.

The graph starts at (0, 0) and goes to (80, 400), which means the number of tickets sold ranges from 0 to 80. Therefore, the domain of the function, representing the number of tickets that can be sold, consists of all integer values from 0 to 80.

Thus, the correct answer is:

C. integers from 0 to 80.

you sure?

Let's reconsider the question more carefully.

The graph you described shows a segment from (0, 0) to (80, 400), which means:

  • At (0, 0), no tickets are sold, resulting in zero revenue.
  • At (80, 400), selling 80 tickets generates 400 dollars in revenue.

The domain of the function is determined by the number of tickets sold, which ranges from 0 to 80. Since typically we count tickets in whole numbers, we refer specifically to integer values.

Therefore, the domain of this function is indeed comprised of the integers from 0 to 80, which includes 0, 1, 2, ..., 80.

So, yes, the correct domain is:

C. integers from 0 to 80.

If you have further questions or concerns about this interpretation, feel free to ask!