Question

A Solve the

1. The total number of books which were borrowed from a library from Monday to Sunday can be
modelled by the function F(x) = 200x + 542x² + 179x + 1605 and the number of visitors to the
library from Monday to Sunday can be modelled by G(x) = 100x + 321, where x is the number of
days since Monday Which of the following expressions correctly describes the average number of
books per visitor?​

Answer 1

The average number of books per visitor at a library is calculated by dividing the function representing the total number of books borrowed (F(x)) by the function representing the number of visitors (G(x)).

Step-by-step explanation:

The student is asking how to calculate the average number of books per visitor at a library given two functions: F(x) for the total number of books borrowed and G(x) for the number of visitors, where x is the number of days since Monday. To calculate the average number of books per visitor, you divide the total number of books borrowed (given by F(x)) by the number of visitors (given by G(x)).

The function F(x) = 200x + 542x² + 179x + 1605 represents the total number of books borrowed, and the function G(x) = 100x + 321 represents the number of visitors. The average number of books per visitor can be represented by the expression F(x) / G(x).

To find the average, you perform the division of the function F(x) by G(x) for each corresponding day of the week. If you want the average over the entire week, you sum up the F(x) values from Monday to Sunday and divide by the sum of the G(x) values over the same period.