To find out how many patrons borrow novels in the local library, we can set up a proportion based on the survey results.
From the survey, we know:
- 3 out of 80 patrons borrow novels.
To find the estimated number of patrons who borrow novels in the entire library of 345 patrons, we can use the following proportion:
\[ \frac{3 \text{ patrons}}{80 \text{ patrons}} = \frac{x \text{ patrons}}{345 \text{ patrons}} \]
Now, solving for \(x\) (the number of patrons who borrow novels):
\[ x = \frac{3}{80} \times 345 \]
Calculating this:
\[ x = \frac{3 \times 345}{80} = \frac{1035}{80} \approx 12.9375 \]
Rounding to the nearest whole number, we get:
\[ x \approx 13 \]
Thus, approximately 13 patrons borrow novels when they visit the library.