Question

The function f(x) = −16x² + 112 models the height, in feet, of an object x seconds after it was released. What was the height of the

object 1.5 seconds after it was released?

A. 76 ft
B. 114 ft
C. 98 ft
D. 88 ft

Answer 1

The correct answer is option C. After calculating the object's height by substituting x=1.5 into the function f(x) = −16x² + 112, the result is 76 ft, which doesn't match any of the provided options, indicating a possible error in either the options or the initial question.

Step-by-step explanation:

To find the height of the object 1.5 seconds after it was released, we insert the value of x=1.5 into the given quadratic function f(x) = −16x² + 112. By doing so, we get f(1.5) = −(16)(1.5)² + 112 = −(16)(2.25) + 112 = −(36) + 112 = 76.

However, there seems to be a miscalculation, as the correct mathematical process gives us f(1.5) = −(16)(2.25) + 112 = −(36) + 112 = 76, which is not one of the options provided. Upon double-checking the calculation, the correct process is f(1.5) = −(16)(1.5²) + 112 = −(16)(2.25) + 112 = −(36) + 112 = 76. Therefore, the actual answer should be 76 ft, which does not correspond to any of the given options. It's important to review the given options or the initial question for possible errors.