Questions: A student is looking over their grades at the end of the term to determine what assignments they have left to do. If she completes the last homework assignment OR completes the project assignment, she will receive a "B" in the course. How many assignments does the student have to complete in order to receive a "B" in the course?
None
Two assignments
One assignment
There's not enough information to determine an answer.
Transcript text: A student is looking over their grades at the end of the term to determine what assignments they have left to do. If she completes the last homework assignment OR completes the project assignment, she will receive a "B" in the course. How many assignments does the student have to complete in order to receive a " $B$ " in the course?
None
Two assignments
One assignment
There's not enough information to determine an answer.
Solution
Solution Steps
To determine how many assignments the student has to complete to receive a "B" in the course, we need to analyze the given conditions. The student needs to complete either the last homework assignment or the project assignment. Therefore, the student needs to complete at least one of these assignments.
Step 1: Analyze the Conditions
The student needs to complete either the last homework assignment or the project assignment to receive a "B" in the course. This can be expressed as:
\[
\text{If } H = 1 \text{ (homework completed) or } P = 1 \text{ (project completed), then } B = 1
\]
where \( H \) and \( P \) are binary variables indicating whether the respective assignments are completed.
Step 2: Determine Assignments Needed
Given that both assignments are not completed (\( H = 0 \) and \( P = 0 \)), the student has:
\[
\text{Assignments needed} = 2
\]
This means the student must complete both assignments to achieve a "B".