12
QuizMultiple Choice

Quadratic Equations and their Related Functions

Question 12 • 26MATH_Recovery_Alg1B22

The path of a flying fish as it made its approach to the surface of the ocean and flew out of the water is represented by the quadratic function h(t) = -t2 + 6t - 5, where t represents the time, in seconds, and h(t) represents the fish's height and depth, in feet. Graph the function using the graphing calculator. To the nearest second, how long was the fish out of the water?

Answer
A
1 second
B
3 seconds
C
4 seconds
D
5 seconds

Explanation

The fish is at the ocean’s surface when its height is 0. Solve −t² + 6t − 5 = 0, which factors as −(t − 1)(t − 5) = 0, so the fish crosses the surface at 1 second and 5 seconds. It was out of the water for 5 − 1 = 4 seconds, so the correct choice is 4 seconds.

AI-written and checked against the verified answer.

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