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) = â€"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? 3. 2 feet 4. 8 feet 5. 6 feet 6. 8 feet.

Answer 1

Functions can be used to model real life situations.

The hose is 3.2 feet above the ground, at a horizontal distance of 4 fee

The function is given as:

$f(x) =-0.3x^2 + 2x$

At a horizontal distance of 4 feet, the value of x is 4

i.e. $x = 4$

Substitute 4 for x in f(x).

So, we have:

$f(4) =-0.3(4)^2 + 2(4)$

Evaluate the exponent

$f(4) =-0.3(16) + 2(4)$

Open both brackets

$f(4) =-4.8 + 8$

Add -4.8 and 8

$f(4) =3.2$

Hence, the hose is 3.2 feet above the ground

Read more about functions at:

brainly.com/question/10837575