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Advanced Math Difficulty: Medium

The height, in feet, of an object x seconds after it is thrown straight up in the air can be modeled by the function $h of x equals, negative 16 x squared, plus 20 x, plus 5$ . Based on the model, which of the following statements best interprets the equation $h of 1 point 4 equals, 1 point 6 4$ ?

The height of the object 1.4 seconds after being thrown straight up in the air is 1.64 feet.

The height of the object 1.64 seconds after being thrown straight up in the air is 1.4 feet.

The height of the object 1.64 seconds after being thrown straight up in the air is approximately 1.4 times as great as its initial height.

The speed of the object 1.4 seconds after being thrown straight up in the air is approximately 1.64 feet per second.

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Explanation

Choice A is correct. The value 1.4 is the value of x, which represents the number of seconds after the object was thrown straight up in the air. When the function h is evaluated for x = 1.4, the function has a value of 1.64, which is the height, in feet, of the object.

Choices B and C are incorrect and may result from misidentifying seconds as feet and feet as seconds. Additionally, choice C may result from incorrectly including the initial height of the object as the input x. Choice D is incorrect and may result from misidentifying height as speed.