Question
- A teacher is creating an assignment worth 70 points. The assignment will consist of questions worth i point a
questions worth 3 points. Which equation represents the situation, where
represents the number of i - point
questions and y represents the number of 3 -point questions?
questions worth 3 points. Which equation represents the situation, where
questions and y represents the number of 3 -point questions?
Ask by Willis Vega. in the United States
Jan 03,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The correct equation is
.
Solution
To determine the correct equation representing the situation, let’s carefully break down the problem:
-
Variables Defined:
- Let
represent the number of 1-point questions. - Let
represent the number of 3-point questions.
- Let
-
Total Points Calculation:
- Each 1-point question contributes
points. - Each 3-point question contributes
points.
- Each 1-point question contributes
-
Total Assignment Points:Simplifying:
-
Matching with Given Options:
- Option d)
correctly represents the total points.
- Option d)
Answer:
d)
d)
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
The key to solving this is recognizing how the total point system is structured. Each i-point question contributes
points, and each 3-point question contributes
points. Therefore, the total points can be represented by the equation
. This means that if you know how many of one type of question you have, you can easily figure out how many of the other you’ll need to make the assignment total up to 70 points.
Now, let’s delve into the implications of this equation. In a classroom setting, this type of breakdown allows teachers to balance the number of questions while strategizing to ensure skills are assessed effectively. Students might face a variety of point allocations in exams and assignments, so becoming adept at interpreting such equations not only builds foundational math skills but also enhances critical thinking as they plan study strategies and answer allocations.