QUESTION IMAGE
Question
the slope of the curve at point b
○ is equal to the slope at point a.
○ is less than the slope at point a.
○ is greater than the slope at point a.
○ cannot be compared with the slope at point a.
○ can be compared with the slope at point a, but more information is needed to determine if the slope is greater than, less than, or equal to the slope at point a.
(graph: gpa (y - axis, 0 to 4), hours of study (x - axis, 0 to 30), curve from origin, points a and b, concave shape)
The curve is concave down (since it's increasing at a decreasing rate, as seen from the shape: steeper at A, flatter at B). The slope of a concave - down curve decreases as we move along the curve (from left to right, here from A to B). So the slope at point B is less than the slope at point A.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
is less than the slope at point A.