The libraries in four counties assess late fees for overdue videos by using linear functions. Each library charges a base amount plus a penalty for the number of weeks that the video is overdue. The equations that model the cost, y, in dollars for videos that are x weeks overdue are shown in the table.

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Answer:

Cumberland and Lincoln


The equations that model the cost, y, in dollars for videos that are x weeks overdue is  y(x) = c + c' * x

What is a function ?

A function can be described as a mathematical expression in which there are two variables , one is dependent and the other is independent.

A function always has a defined domain and range.

It is given in the question that

The libraries in four counties assess late fees for overdue videos by using linear functions.

Each library charges a base amount =$ c

plus a penalty for the number of weeks that the video is overdue = $c' /week

No. of weeks overdue = x

The equation formed will be

Total dollars for videos

y(x) = c + c' * x

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