1: Does this graph represent a discrete or continuous situation? Fill in the table.
Number of Correct Questions
Points Earned on the Test
#2: Write the domain in set notation:
Your answer:
A student is taking a test with 5 problems on it. For each problem the student answers correctly, the student receives 20 points.
1: This graph, which you're referring to but have not provided, would represent a discrete situation, not a continuous one. Points on a test earned from answering questions correctly are typically in increments (in this case, 20 points per correct question), meaning that not every value within a range is possible — they can only take on specific, isolated values.
To fill in the table, we assume the test includes 5 questions, each worth 20 points. The table would look something like this:
Number of Correct Questions | Points Earned on the Test
-----------------------------------------------------
0 | 0
1 | 20
2 | 40
3 | 60
4 | 80
5 | 100
These are discrete values because you can't answer a fraction of a question to earn a fraction of the points allotted per question.
2: The domain in this situation refers to the possible values for the number of correct questions. Since the student can answer 0 up to 5 questions correctly (assuming no extra credit or penalties), the domain is the set of these possible numbers of correct answers.
The domain in set notation would be:
Domain = {0, 1, 2, 3, 4, 5}
In this set, each element represents the number of questions answered correctly by the student.