Question

3. A batter strikes a baseball.

The equation y = -0.005x^2 + 0.7x + 3.5 models its path, where x is the horizontal distance, in feet, the ball travels and y is the height, in feet, of the ball. How far from the batter will the ball land? Round to the nearest tenth of a foot.

a. -4.8 feet
b. 4.8 feet
c. 145.9 feet
d. 144.8 feet​

Answer 1

The ball will land 144.8 feet far from the batter

Explanation:

Equation of path of baseball :
`y = -0.005x^2 + 0.7x + 3.5`

Where x is the horizontal distance, in feet, the ball travels

y is the height, in feet, of the ball.

We are supposed to find How far from the batter will the ball land

When the ball lands y = 0

So, Substitute y = 0 in equation

So,
`0= -0.005x^2 + 0.7x + 3.5`

`0.005x^2-0.7x-3.5=0`

0.005(x-144.833)(x+4.833)=0

(x-144.833)(x+4.833)=0

x=144.833,-4.833

Since the distance cannot be negative

So, the ball will land 144.8 feet far from the batter