Suppose the path of a baseball follows the path graphed by the quadratic function ƒ(d) = –0.6d2 + 5.4d + 0.8 where d is the horizontal distance the ball traveled in yards, and ƒ(d) is the height, in yards, of the ball at d horizontal yards. find the total horizontal distance the ball traveled while in the air. a. 8.22 yards b. 8.46 yards c. 9.51 yards d. 9.15 yards

The correct option D.

Step-by-step explanation:

The given function is

Where f(d) is the height of the ball at horizontal distance d.

Put f(d)=0, to find the distance where the ball touch the ground.

Quadratic formula:

Using the quadratic formula we get

Therefore the ball is in air between d=-0.146 to d=9.146.

The distance can not be negative, therefore the ball remains in the air between d=0 to d=9.146.

Therefore the correct option is D.

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