a local library manager randomly surveys 80 patrons about the type of book they borrow when they visit the…

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)

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)

Answer

Answer:

13

Explanation:

Step1: Set up proportion

Let $x$ be the number of patrons who borrow novels out of 345. The proportion is $\frac{3}{80}=\frac{x}{345}$.

Step2: Cross - multiply

$80x = 3\times345$.

Step3: Calculate right - hand side

$3\times345 = 1035$. So, $80x=1035$.

Step4: Solve for $x$

$x=\frac{1035}{80}=12.9375$.

Step5: Round to nearest whole number

Rounding 12.9375 to the nearest whole number gives 13.