PSAT Math Multiple-Choice Question 182: Answer and Explanation

Question: 182

What is the average rate of change for the line graphed in the figure above?

• A.
• B.
• C.
• D.

Correct Answer: B

Explanation:

B

Difficulty: Easy

Category: Heart of Algebra/Linear Equations

Getting to the Answer: The average rate of change for a linear function is the same as the slope of the line. Find the slope of the line by either using the slope formula or by counting the rise and the run from one point to the next. If you start at (0, - 3), the line rises 5 units and runs 8 units to get to (8, 2), so the slope, or average rate of change, is . Choice (B) is correct.