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 book is late and y represents the total fee?

(–3, –0.90)
(–2.5, –0.75)
(4.5, 1.20)
(8, 2.40)



Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. What is the equation that can be used to find the value of y, the total time that Vlad spent on his homework, and what are the constraints on the values of x and y?

y=2x+20; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
y=2x+20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.
y=20x+2; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
y=20x +2; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.

Answer 1

1) (8, 2.40). Reason: y = 0.30x so y = 0.30·8 = 2.40, and x must be a nonnegative whole number (days late).

2) y = 2x + 20, with x a nonnegative integer and y an integer ≥ 20. (So choose the first option.)