The constant of proportionality between the number of fiction book (f) and the number of nonfiction books (n) in a library is 15/22. There are 3498 nonfiction books in the library. How many fiction books are in the library

2385  I think

Step-by-step explanation:

The total number of fiction books in the library are 2385.

The constant of proportionality is the ratio of two proportional values at a constant value.

Let the total number of fiction books be f and nonfiction books be n.

According to the given question.

The constant of propotionality between the number of fiction book(f) and the number of non-fiction books(n) in a library is [tex]\frac{15}{22}[/tex].

[tex]\implies \frac{f}{n} = \frac{15}{22}[/tex]

Also, the total number of nonfiction books is 3498.

Therefore,

[tex]\frac{f}{3498} = \frac{15}{22}[/tex]

[tex]\implies f = \frac{15}{22} \times 3498[/tex]

[tex]\implies f = 15\times 159[/tex]

[tex]\implies f = 2385[/tex]

Hence, the total number of fiction books in the library are 2385.

Find out more information about constant of proportionality here:

https://brainly.com/question/8598338

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