Mathematics
Grand-Tests
Easy
Question
Some football field surfaces in the United States are higher in the center than at the sides, as represented in the figure above, so that water drains from the field. The height difference, f(x), in feet, between the left side and a point x feet from the left side is represented by the function f(x) = -0.00026(x - 80) 2 + 1.666. In the xy-plane, which of the following is the best interpretation of J(40) = 1.25 in this context?
- The surface 40 feet from the left side is approximately 1.25 feet higher than the surface at the left side.
- The surface 40 feet from the left side is approximately 1.25 times as high as the surface at the left side.
- The surface 40 feet from the left side is approximately 1.25 feet lower than the surface at the left side.
- The surface 40 feet from the right side is approximately 1.25 times as high as the surface at the left side.
The correct answer is: The surface 40 feet from the left side is approximately 1.25 feet higher than the surface at the left side.
The question states ‘’ Height difference’’ from the ‘’ left side ‘’ so clearly it is option A.
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