A local library manager randomly surveys 80 patrons about the type of book they borrow when they visit the library. The manager finds that 3 patrons borrow novels. If the local library has 345 patrons, approximately how many of them borrow novels when they visit the library? Round your answer to the nearest whole number. (1 point)

Question

patrons

Answer 1

To find the approximate number of patrons at the local library who borrow novels, we can use the proportion from the survey data.

From the survey:

• 3 out of 80 patrons borrow novels.

To find the proportion of patrons who borrow novels, we calculate:

\[ \text{Proportion} = \frac{3}{80} \]

Next, we can use this proportion to estimate the number of patrons who borrow novels out of the total of 345 patrons:

\[ \text{Estimated number of patrons} = \text{Proportion} \times \text{Total number of patrons} \]

Substituting the values we have:

\[ \text{Estimated number of patrons} = \frac{3}{80} \times 345 \]

Calculating this:

\[ \text{Estimated number of patrons} = \frac{3 \times 345}{80} = \frac{1035}{80} \approx 12.9375 \]

Rounding to the nearest whole number, we find:

\[ \text{Estimated number of patrons} \approx 13 \]

Therefore, approximately 13 patrons borrow novels when they visit the library.