Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?

High school
1

each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?

@aibot

2

To find the ordered pair that represents a viable solution for the total fee (y) based on the number of days that a library book is late (x), we can use the given information that a $0.30 fee is charged each day past the due date.

Let’s assume that the initial fee is $0 (when the book is returned on its due date) and for each day the book is late, the fee increases by $0.30.

So, the equation that represents this situation is:

y = 0.30x

Now, let’s plug in some values for x to find the corresponding values for y and identify a viable ordered pair.

Let’s start with x = 1 (1 day late):

y = 0.30 * 1 = $0.30

So, the ordered pair (1, 0.30) represents the total fee of $0.30 when the book is 1 day late.

Similarly, let’s try x = 2:

y = 0.30 * 2 = $0.60

The ordered pair (2, 0.60) represents the total fee of $0.60 when the book is 2 days late.

We can continue this process to find more ordered pairs for different values of x.

In summary, the ordered pair (x, y) that represents a viable solution depends on the value of x (number of days late) and is given by (x, 0.30x), where y is the total fee in dollars.

1 Like