Question

The graph below shows the relationship between x, the number of correct answers a student has on a test, and y, the number of points the student scores.

The graph shows x, number of correct answers, on the horizontal axis from 0 to 25 in increments of 5 on every other grid line, and y, number of points, on the vertical axis from 0 to 100 in increments of 10. The line passes through the points (0, 0), (5, 20), (10, 40), (15, 60), (20, 80) and (25, 100).

Determine whether each statement about the graph is true or false. Select True or False for each statement.

Statement
True
False
The point
means 0 correct answers earns a score of 0 points.
The point
means a score of 5 points is earned from 20 correct answers.
Each correct answer earns a score of 10 points.
A score of 4 points is earned from each correct answer.

Answer 1

1. The point (0,0) means 0 correct answers earns a score of 0 points. — True (point (0,0) shows 0 correct → 0 points)

2. The point means a score of 5 points is earned from 20 correct answers. — False (20 correct gives 80 points on the graph, not 5)

3. Each correct answer earns a score of 10 points. — False (slope = 20/5 = 4, so not 10)

4. A score of 4 points is earned from each correct answer. — True (slope = 4 points per correct answer)