The diver reaches a maximum height above the water at seconds.
The diver hits the water at seconds.
The diver reaches a maximum height above the water at seconds.
The diver hits the water at seconds.
Explanation
Correct answer: B.
Choice B is correct. It's given that the graph shows the height above the water , in meters, of a diver seconds after diving from a platform. The x-intercept of a graph is the point at which the graph intersects the x-axis, or when the value of is . The graph shown intersects the x-axis between and . In other words, the diver is meters above the water, or hits the water, between and seconds after diving from the platform. Of the given choices, only choice B includes an interpretation where the diver hits the water between and seconds. Therefore, the best interpretation of the x-intercept of the graph is the diver hits the water at seconds.
Desmos solution:
Note: The x-intercept is where y = 0, meaning the diver’s height above water is zero. The graph crosses the x-axis at about 1.6 seconds, so the diver hits the water at that time.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect and may result from conceptual errors.
Choice C
Choice C is incorrect. This is the best interpretation of the maximum value, not the x-intercept, of the graph.
Choice D
Choice D is incorrect and may result from conceptual errors.