Question

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 bo

Answer 1

Given :   Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight.

To Find : 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?

(–3, –0.90)

(–2.5, –0.75)

(4.5, 1.35)

(8, 2.40)

Solution:

$0.30 fee is charged for Each day

=> y = 0.3x     where x  ≥ 0   and x ∈ N

As days can not be negative      and days can not be Fractional   ( because fee  is charged at the end of day only)

(–3, –0.90)   is not possible as days can not be negative

(–2.5, –0.75)   is not possible as days can not be negative

(4.5, 1.35)    is not possible as days can not be fractional

(8, 2.40)  is only  viable solution

8 days past due data

2.40 $ is the fine

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