Questions: Refer to the graph. How would you describe the value of the slope of this curve? A. The value of the slope is the same between any two points along the curve. B. The value of the slope is greater between points g and h than between points and j. C. The value of the slope is greater between points / and j than between points g and h. D. We cannot determine whether the slope is greater between g and h or / and j because the relationship between "Points on exam" and "Study time" is not linear.

Solution Steps

The slope between points g and h can be visually estimated as the steepness of the line segment connecting these two points. The rise appears to be approximately 4 units (from 6 to 10 on the vertical axis), and the run is approximately 1 unit (from 1 to 2 on the horizontal axis). Thus, the slope is approximately 4/1 = 4.

Similarly, the slope between points i and j can be estimated by observing the steepness of the line segment connecting them. The rise appears to be approximately 1 unit (from 24 to 25 on the vertical axis), while the run is approximately 1 unit (from 8 to 9 on the horizontal axis). The slope is approximately 1/1 = 1.

Comparing the estimated slopes, we find that the slope between g and h (approximately 4) is greater than the slope between i and j (approximately 1). This indicates that the curve is getting less steep as we move from left to right.

Final Answer