To find the approximate number of patrons in the library who borrow novels, we first need to establish the proportion of surveyed patrons who borrow novels.
In the survey, 3 out of 80 patrons borrow novels. We can calculate the proportion of patrons who borrow novels as follows:
\[ \text{Proportion of novel borrowers} = \frac{3}{80} \]
Next, we can use this proportion to estimate the number of novel borrowers among the total 345 patrons of the library:
\[ \text{Estimated number of novel borrowers} = \frac{3}{80} \times 345 \]
Calculating this:
\[ \text{Estimated number of novel borrowers} = \frac{3 \times 345}{80} = \frac{1035}{80} \approx 12.9375 \]
Rounding to the nearest whole number gives us approximately:
\[ 13 \text{ patrons} \]
So, the answer is:
13 Patrons