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

Answer:

D. (8, 2.40)

Explanation:

Step1: Determine the fee - formula

The fee formula is $y = 0.3x$, where $x$ is the number of late - days and $y$ is the total fee.

Step2: Analyze option A

For $x=-3$, the number of days can't be negative in this context, so $(-3, - 0.90)$ is not valid.

Step3: Analyze option B

For $x = - 2.5$, the number of days can't be negative and should be a non - negative integer in the context of late days, so $(-2.5,-0.75)$ is not valid.

Step4: Analyze option C

For $x = 4.5$, the number of days should be a non - negative integer in the context of late days, so $(4.5,1.35)$ is not valid.

Step5: Analyze option D

Substitute $x = 8$ into $y=0.3x$. We get $y=0.3\times8 = 2.40$. So $(8,2.40)$ is a valid solution.