Select the correct answerSelect the correct answer from each drop-down menu. A teacher is making a history test composed of the
same number of multiple-choice questions as short-answer questions. She estimates it will take students an average of 2 minutes to complete each multiple-choice question and an average of 3.5 minutes to complete each short-answer question. 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. from each drop-down menu. A teacher is making a history test composed of the same number of multiple-choice questions as short-answer questions. She estimates it will take students an average of 2 minutes to complete each multiple-choice question and an average of 3.5 minutes to complete each short-answer question. 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. 45
The inequality to show the number of questions the teacher can include is 2x + 3.5x < 45
An inequality shows the relationship between two mathematical expressions. The first step to write an inequality is to identify the factors to consider. In this case:
Time for multiple-choice questions: 2 minutes.
Time for short-answer questions: 3.5 minutes.
Total time for the test: 45 minutes.
Now, using this information you can create the inequality:
2x (multiple-choice questions time) + 3.5x (short-answer questions time) < 45 minutes (Total time for the test)
x represents number of questions.
You can also solve this equality:
2x + 3.5 x < 45
5.5 x < 45
x < 45 / 5.5.
x < 8.1
This means the teacher can include 8 questions of each type.
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