Question

A student is taking a test. There are 10 problems on the test, and for each problem the student answers correctly, they receive 10 points. What is the domain and range of the situation?

a) Domain: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}; Range: {0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
b) Domain: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}; Range: {0, 10, 20, 30, 40, 50, 60, 70, 80, 90}
c) Domain: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}; Range: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
d) Domain: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}; Range: {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}

Answer 1

The correct domain and range for a test with 10 questions, each worth 10 points, would be Domain: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and Range: {0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100}, thus the answer is option a).

Step-by-step explanation:

The student is asking about the domain and range of a discrete function that describes the scoring on a test with 10 problems, each worth 10 points. In this context, the domain represents the possible number of problems the student could answer correctly, which would be all whole numbers from 0 to 10. The range, on the other hand, represents the corresponding scores that can be achieved, which are multiples of 10 ranging from 0 to 100, as each correct answer is worth 10 points.

Therefore, the correct domain and range for this situation would be:

Thus, the correct answer to the question is a) Domain: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}; Range: {0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100}.