Ask a New Question
Menu

Students can buy up to 10 books at a book fair. The cost of the books is shown in the graph. What is the domain of this graph?

Cost of Books
Cost ($)
110
100
90 +
80
70
60
50
40|
30
20
10
Domain:
2 3 4 5 8 7 8 9 10 11
Number of books
choose your answer...

3 answers

The domain of a graph refers to the set of possible input values, which in this case corresponds to the number of books that can be purchased at the book fair.

From your description, students can buy up to 10 books, and it appears that the number of books is represented as a discrete set of values. The possible values for the number of books, as you've provided, seem to include: 2, 3, 4, 5, 8, 7, 8, 9, 10, and 11.

However, it seems that 11 exceeds the maximum number of books students can purchase (which is 10), so it should not be included in the domain. Additionally, the value 8 appears twice, but it should only be counted once in the domain.

The complete and correct domain of the graph, considering the constraints given, would be:

Domain: {2, 3, 4, 5, 6, 7, 8, 9, 10}

If your option includes only unique values up to 10, that would be the right choice. If not, please provide additional clarification regarding the options available for selection!

All rational numbers from
O to 10
All real numbers
All whole numbers from O
to 10
All nonnegative real numbers
?

Based on the information provided, it appears you are asking for the correct domain for the graph of the book fair costs in relation to the number of books that can be purchased.

From your options:

  1. All rational numbers from 0 to 10: This is too broad since we are interested in discrete numbers (i.e., whole numbers).

  2. All real numbers: This is also too broad, as the number of books is limited and cannot take any real number value.

  3. All whole numbers from 0 to 10: This seems like a solid choice since it includes 0 books (though practically, you wouldn't typically sell 0 books) and goes up to 10.

  4. All nonnegative real numbers: This is again too broad because we are only interested in whole numbers that represent the potential number of books purchased (from 0 to 10).

Given the context of the problem, the best choice for the domain would be:

All whole numbers from 0 to 10

This option accurately reflects the range of possible whole number values that students can purchase.