Question

The fine schedule for overdue books at the county library is modeled by the values in the table. Library Fines for Overdue Books Days overdue Amount of fine 0 0 ¢ 2 5 ¢ 4 10 ¢ 6 15 ¢ 8 20 ¢ 10 25 ¢ Which equation best models the fine schedule for overdue books?

Answer 1

fine = (days into 3)- days/2

Answer 2

Answer:

A = 5d/2, where A represents the fine for d number of overdue days

Step-by-step explanation:

Hi,

If we model the amount of fine over the overdue books for library

as a linear model,

In general any linear equation will be of the form

y = mx + c

Now, let 'A' represent the Overdue Amount

Let 'd' represent number of days the book are overdue,

Then, a linear model will be of the form

A = md + c------(1)

In order to find m and c,

Given A = 0 when d = 0

so , 0 = m.0 + c

c = 0

Substituting value of c = 0 in (1), we  get

A = md---(2)

Also given that A = 5 when d = 2

so 5 = m*2

m = 5/2 = 2.5

On substituting value of m = 2.5 in (2), we get

A = 2.5d

We can also observe that all the values are been satisfying ht above

equation.

Hence, A = 5d/2 models the fine schedule for overdue books.

Hope, it helps !