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Each morning librarians place 560 books on a book shelf in the school library. Each student that visits library that day takes exactly 3 books from this shelf. Let s be the number of students which visit library on a particular day. Let b be the number of books left on the shelf at the end of that day. a How does the number of books left on the shelf depend on number of students visiting library? Find formula for the function b(s).

Respuesta :

texaschic101
b(s) = -3s + 560 <== here is ur function

How does the number of books left on the shelf depend on the number of students visiting the library ? 

well..if each person takes out 3 books....lets say 10 people came into the library....that would mean (3 * 10) = 30 books would be checked out...but if only 5 people came, then (3 * 5) = 15 books would be checked out. I dont know how else to explain it. The more people that visit, the more books will be checked out.
MrRoyal

The relationship between the books and the students is an illustration of a linear function

The formula for the function is: [tex]b(s) = 560 - 3s[/tex]

From the question, we have:

[tex]b = 560[/tex] --- number of books in the morning

[tex]r = 3[/tex] ---- the number of books per students

So, the number of books as a function of number of students is:

[tex]b(s) = b - r \times s[/tex]

Substitute known values

[tex]b(s) = 560 - 3 \times s[/tex]

[tex]b(s) = 560 - 3s[/tex]

Hence, the formula for the function is:

[tex]b(s) = 560 - 3s[/tex]

Read more about linear functions at:

https://brainly.com/question/20286983

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