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 ovels. If the local library has 345 patrons, approximately how many of them borrow novels when they visit the library?
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We can use proportions to estimate the number of patrons who borrow novels:
If 3 out of 80 patrons borrow novels, then the proportion of patrons who borrow novels is:
3/80 = 0.0375
We can assume that this proportion is roughly the same for the entire population of 345 patrons. So, we can estimate the number of patrons who borrow novels as:
0.0375 x 345 = 12.94
Rounding this to the nearest whole number, we can estimate that 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 use proportions.
Let's set up a proportion using the information provided:
Number of patrons who borrow novels / Total number of patrons surveyed = Number of patrons who borrow novels / Total number of patrons
Given information:
Number of patrons surveyed = 80
Number of patrons who borrow novels = 3
Total number of patrons = 345
Setting up the proportion:
3 / 80 = x / 345
To solve for x, we can cross multiply:
80x = 3 * 345
80x = 1035
Divide both sides of the equation by 80:
x = 1035 / 80
x ≈ 12.94
So, approximately 12.94 patrons borrow novels when they visit the library. Since we can't have a fraction of a patron, we round this number to the nearest whole number.
Approximately 13 patrons borrow novels when they visit the library.