Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question.
There are 15 questions on the test and the students have been given 55 minutes to complete it. A Table titled Test Time, showing Number of Questions, Time per Item in minutes, and Total Time in minutes. The first row shows Multiple Choice, with m, 3, and 3 m. The second row shows Free Response, with 15 minus m, 8, and x. The third row shows Total, with 15, blank, and 55. Which value could replace x in the table? 7 – m 23 – m 8(15 – m) 8(15) – m
In the table, <em>x </em> represents the total time students take to respond free-response question. So, the replacement of the variable must be the product between the number of free-response questions and the time per questions students take.
Number of free-response questions: 15-m
Time per Item (minutes): 8
Therefore the product would be: 8(15-m), which is the expression that must replace <em>x.</em>
Yes; this is a linear function because you plug in a number and multiply it by two, so the function would be y=2x, which is linear despite the fact that it lacks a b value.
