A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h of t is equal to negative 16 t squared plus 40 t plus 7 Rounded to the nearest tenth, the solutions to the equation when h of t is equal to 0 feet are negative 0 point 2 s and 2 point 7 s. Which solution can be eliminated and why?
Answer
A
The solution negative 0 point 2 s can be eliminated because time cannot be a negative value.
B
The solution negative 0 point 2 s can be eliminated because the pass was not thrown backward.
C
The solution 2 point 7 s can be eliminated because a ball cannot be in the air for that long due to gravity.
D
The solution 2 point 7 s can be eliminated because the pass was thrown backward.
Explanation
The equation gives two times when the football’s height is 0: about −0.2 seconds and 2.7 seconds. A negative time would be before the pass was thrown, so it does not describe when the ball lands during the play. Therefore, the −0.2-second solution can be eliminated because time cannot be negative in this situation.
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