59.0k views
3 votes
A trivia contest asks both multiple choice and free response questions. Contestants receive 3 points for each correct multiple choice question and 5 points for each correct free response question, and they must score more than 60 points to advance to the next round. If Eva advanced to the next round of the contest, which of the following inequalities describes x, the number of multiple choice questions, and y, the number of free response questions, that she answered correctly?

User Adelb
by
7.6k points

1 Answer

5 votes

Final answer:

The inequality describing the number of correctly answered multiple choice and free response questions for Eva to advance is 3x + 5y > 60, where x is the number of multiple choice questions and y is the number of free response questions.

Step-by-step explanation:

The question is asking about the relationship between the number of multiple choice questions (x) and free response questions (y) that Eva answered correctly in a trivia contest, and how many points she scored to advance to the next round. Since she scores 3 points for each multiple choice question and 5 points for each free response question, and she needs to score more than 60 points to advance, we can use an inequality to describe this situation.

The inequality would be:

3x + 5y > 60

This inequality means Eva must score 3 times the number of multiple choice questions she got right, plus 5 times the number of free response questions she got right, and the total must be greater than 60 for her to advance in the contest. This represents one possible set of conditions that would allow Eva to advance to the next round.

User Illvart
by
7.9k points