Answer:
The inequality is [tex]5.5n \leq 45[/tex]
Step-by-step explanation:
Total time:
The total time to complete the test is the sum of the number of multiple-choice questions multiplied by the time it takes to solve each and the number of short-answer questions multiply by the time it takes to solve each.
In this question:
Same number(n) of both.
Multiple-choice takes 2 minutes, short-answer takes 3.5 minutes. The total time is given by:
[tex]T = 2n + 3.5n = 5.5n[/tex]
Write an inequality to determine how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete.?
This means that:
[tex]T \leq 45[/tex]
So
[tex]5.5n \leq 45[/tex]
The inequality is [tex]5.5n \leq 45[/tex]