Explanation
Correct answer: C.
Choice C is correct. Each point on the graph represents the elevation , in meters, and the corresponding measure of plant diversity in a region of Switzerland. Therefore, the point on the graph with the greatest -coordinate represents the location that has the greatest measure of plant diversity in the region. The greatest -coordinate of any point on the graph is approximately . The -coordinate of that point is approximately . Therefore, the closest elevation at which the plant diversity is the greatest is meters.
Desmos solution:
Note: The vertex of the parabola is at (1250, 13500), so the x-coordinate 1250 is the elevation where plant diversity is greatest.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. This value is closest to the greatest -coordinate of any point on the graph and therefore represents the greatest measure of plant diversity, not the elevation where the greatest measure of plant diversity occurs.
Choice B
Choice B is incorrect. At an elevation of meters the measure of plant diversity is approximately . Because there are points on the graph with greater -coordinates, can't be the greatest measure of plant diversity, and meters isn't the elevation at which the greatest measure of plant diversity occurs.
Choice D
Choice D is incorrect. At an elevation of meters, the measure of plant diversity is approximately . Because there are points on the graph with greater -coordinates, can't be the greatest measure of plant diversity and meters isn't the elevation at which the greatest measure of plant diversity occurs.