Question

The plot below shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Based on the data, which one of the following options is true? \includegraphics[width=0.6\linewidth]{q8 MA.PNG}

• A. The risk reduction on increasing the steps/day from \( 0 \) to \( 10000 \) is less than the risk reduction on increasing the steps/day from \( 10000 \) to \( 20000 \).
• B. The risk reduction on increasing the steps/day from \( 0 \) to \( 5000 \) is less than the risk reduction on increasing the steps/day from \( 15000 \) to \( 20000 \).
• C. For any \( 5000 \)-step increment, the largest risk reduction occurs on going from \( 0 \) to \( 5000 \).
• D. For any \( 5000 \)-step increment, the largest risk reduction occurs on going from \( 15000 \) to \( 20000 \).

Hint:

When interpreting graphs, focus on the slope or rate of change to determine the magnitude of differences.

Answer 1

The Correct Option is C

Step 1: Analyzing the plot. The plot shows the relationship between steps walked per day and cardiovascular disease risk. The slope of the curve is steepest between \( 0 \) and \( 5000 \), indicating the largest reduction in risk occurs during this interval. Step 2: Evaluating increments. - Between \( 0 \) to \( 5000 \): Largest risk reduction (steep slope). - Between \( 5000 \) to \( 10000 \): Moderate risk reduction. - Between \( 10000 \) to \( 20000 \): Least risk reduction (almost flat slope). Step 3: Conclusion. The correct statement is \( {(3)} \): For any \( 5000 \)-step increment, the largest risk reduction occurs on going from \( 0 \) to \( 5000 \).