each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. which ordered…

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?\n(-3, -0.90)\n(-2.5, -0.75)\n(4.5, 1.35)\n(8, 2.40)

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?\n(-3, -0.90)\n(-2.5, -0.75)\n(4.5, 1.35)\n(8, 2.40)

Answer

Explanation:

Step1: Determine the fee - formula

The fee formula is $y = 0.3x$, where $x$ (number of late - days) must be a non - negative real number since the number of days cannot be negative.

Step2: Check option A

For the ordered pair $(-3,-0.90)$, since $x=-3<0$, it is not a valid solution as the number of days a book is late cannot be negative.

Step3: Check option B

For the ordered pair $(-2.5, - 0.75)$, since $x = - 2.5<0$, it is not a valid solution as the number of days a book is late cannot be negative.

Step4: Check option C

For the ordered pair $(4.5,1.35)$, substitute $x = 4.5$ into $y = 0.3x$. We get $y=0.3\times4.5 = 1.35$. But the number of days a book is late is usually counted as a whole number in this context, and $4.5$ is not a whole number of days for this practical situation.

Step5: Check option D

For the ordered pair $(8,2.40)$, substitute $x = 8$ into $y = 0.3x$. We have $y=0.3\times8=2.40$, and $x = 8$ is a non - negative whole number.

Answer:

D. $(8,2.40)$