The path of a volley ball thrown over a net is modeled with the function A(x) = -0.02x2 + 0.6x + 5, where x is
the horizontal distance, in feet, from the starting point and A is the altitude of the ball, in feet. About how far
does the ball travel horizontally before it hits the ground? Round your answer to the nearest whole number.

The ball travel horizontally 37 feet before it hits the ground

Step-by-step explanation:

we have

where

x ----> is the horizontal distance in feet

A --->  is the altitude of the ball, in feet.

we know that

When the ball hit the ground, the altitude of the ball is equal to zero

so

For A(x)=0

solve the quadratic equation

The formula to solve a quadratic equation of the form

is equal to

in this problem we have

so

substitute in the formula

therefore

The ball travel horizontally 37 feet before it hits the ground

the one that has a slope of 1/2 and is positive.

step-by-step explanation: 2 buckets 1 trip ; 4 buckets 2 trips and so on.