A video rental company charges $5 per day for renting a video tape, and then $4 per day after the first. Use the greatest integer function and write an expression for renting a video tape for x days.
A) $y = 4 x + 5$
B) $y + 5 = 4 \llbracket x \rrbracket$
C) $y = \llbracket 4 x + 5 \rrbracket$
D) $y = 4 \llbracket x - 1 \rrbracket + 5$

Question

Quizplus · Accepted Answer

The correct expression accounts for the $5 charge on the first day and then $4 for each additional day. The greatest integer function is applied to $x-1$ to calculate the number of days after the first, ensuring the first day is charged at $5, and subsequent days at $4.

A Video Rental Company Charges $5 Per Day for Renting y=4x+5y = 4 x + 5y=4x+5

A Video Rental Company Charges $5 Per Day for Renting $y = 4 x + 5$