A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second. After approximately 2.3 seconds, the ball lands on the ground. The ball’s motion can be modeled using the function f(x) = –10x2 + 20x + 8. What is the height of the ball 1.5 seconds after it is thrown?
Substitute 1.5 for x in the given function: f(1.5) = −10(1.5)² + 20(1.5) + 8 = −22.5 + 30 + 8 = 15.5. The ball is 15.5 meters high, which is choice C.
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