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.
We can use proportions to estimate the number of library patrons who borrow novels based on the sample of 80 patrons surveyed:
3/80 = x/345
Solving for x, we get:
x = (3/80) * 345
x ≈ 12.84
Rounding to the nearest whole number, we estimate that approximately 13 library patrons borrow novels when they visit the library.
To estimate the number of patrons who borrow novels when they visit the library, we can use proportions.
The proportion of patrons who borrow novels in the random sample is 3 out of 80.
So, we can set up a proportion:
3/80 = x/345
To solve for x, cross-multiply:
80x = 3 * 345
80x = 1035
Divide both sides by 80:
x = 1035/80
x ≈ 12.9375
Rounding to the nearest whole number, approximately 13 of the 345 patrons borrow novels when they visit the library.