Question

The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f(x) = –0.3x2 + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet.

When the water was 4 feet from the end of the hose, what was its height above the ground?

Answer 1

find f(4)
f(4)=-0.3(4^2)+2(4)
f(4)=-0.3(16)+8
f(4)=-4.8+8
f(4)=3.2

3.2ft above the ground

Answer 2

3.2 feet

Explanation:

The equation
`f(x)=-0.3x^(2)+2x` shows the height of water [
`f(x)`] and horizontal distance [
`x`].

Given the horizontal distance is 4 feet, they want to know the height.

Simply put 4 in
`x` of the equation and solve for
`f(x)`. So,

`f(x)=-0.3(4)^(2)+2(4)\\f(x)=3.2`

So, the height of the water was 3.2 feet above the ground.