Question

A student is taking a test. There are 10 problems on the test and for each problems the student answers correctly, the student receives 10 points. Sketch the graph of the situation and determine the domain and range.

Answer 1

Answer:In this graph, as you move along the x-axis (representing the number of problems answered correctly), the y-coordinate (representing the number of points earned) increases linearly. The points fall on a straight line with a slope of 10 (since each correct answer is worth 10 points), starting from the origin (0,0) and going to (10,100) in this case.

Now, let's determine the domain and range:

Domain (x-values): The domain represents all possible inputs in this situation. Since the student can answer anywhere from 0 to 10 problems correctly, the domain is [0, 10] because it includes all whole numbers from 0 to 10, inclusive.

Range (y-values): The range represents all possible outputs, which are the points earned. The student earns 10 points for each problem answered correctly, so the range is [0, 100], including all whole numbers from 0 to 100.

So, the domain is [0, 10], and the range is [0, 100] for this situation.