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)
Based on the sample of 80 patrons, the proportion of patrons who borrow novels is:
3/80 = 0.0375
To estimate the number of patrons who borrow novels in the entire library, we can use proportions:
0.0375 = x / 345
Solving for x, we get:
x = 12.94
Rounding to the nearest whole number, we get:
Approximately 13 patrons borrow novels when they visit the library.
To find the approximate number of patrons who borrow novels when they visit the library, we can set up a proportion.
Let's first calculate the proportion of patrons who borrow novels in the survey sample:
3 patrons who borrow novels / 80 patrons surveyed = x patrons who borrow novels / 345 total patrons
Now, let's find x, the approximate number of patrons who borrow novels when they visit the library:
x = (3 patrons who borrow novels * 345 total patrons) / 80 patrons surveyed
x ≈ (3 * 345) / 80
x ≈ 10.6875
Rounding this to the nearest whole number, we can conclude that approximately 11 of the 345 patrons borrow novels when they visit the library.