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.
To estimate the number of patrons who borrow novels when they visit the library, we can use proportions. We know that out of 80 surveyed patrons, 3 borrowed novels, which is equivalent to 3/80 = 0.0375 or 3.75%.
We can assume that this proportion holds true for the entire library population of 345 patrons. To find out approximately how many of them borrow novels, we can set up a proportion:
3.75/100 = x/345
Solving for x, we get:
x = 3.75/100 * 345
x ≈ 12.94
Rounding to the nearest whole number, we can estimate that approximately 13 patrons borrow novels when they visit the library.
Is it 13 can you double check your work
Yes, you are correct. I apologize for the error in my previous response. Rounding 12.9375 to the nearest whole number, we get 13. So, approximately 13 patrons borrow novels when they visit the library.
To estimate the number of patrons who borrow novels when they visit the library, we can set up a proportion using the information given.
Let's represent the number of patrons who borrow novels as "x."
The proportion can be set up as follows:
3 patrons (who borrow novels) is to 80 patrons (surveyed) as x patrons (who borrow novels) is to 345 patrons (total):
3/80 = x/345
To solve for x, we can cross-multiply and then divide:
(3 * 345) / 80 = x
1035 / 80 = x
x ≈ 12.94
Rounded to the nearest whole number, approximately 13 of the 345 patrons are expected to borrow novels from the library when they visit.