Question

The late fees for a school library are represented by the function c=.25d where c is the total cost and d is the number of days a book is late . Compare the functions' y- intercepts and rates of change.

Answer 1

City library charges 35 cents every day a book is late

School library charges 25 cents every day a book is late

Explanation:

The late fees for a school library are represented by the function c=.25d where c is the total cost and d is the number of days a book is late.

The fees charged by a city library are shown in the table. Table is attached below

For the given table y intercept is 0

`1 \cdot 0.35= 0.35\\2 \cdot 0.35= 0.70\\\\3 \cdot 0.35= 1.05\\`

slope of the city library is 0.35

slope of school library is 0.25

y interept of both city and school library is 0

So we can say that there is no charge for both library if they are not late

City library charges 35 cents every day a book is late

School library charges 25 cents every day a book is late