The quadratic model f of x is equal to negative 5 x squared plus 200 represents the approximate height, in meters, of a ball x seconds after being dropped. The ball is 50 meters from the ground after about how many seconds?

Set the height equal to 50: -5x² + 200 = 50. Subtract 200 and divide by -5 to get x² = 30, so x = √30 ≈ 5.48 seconds (using the positive time). The correct choice is 5.48 seconds.

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