Question

A football field is sloped from the center toward the sides for drainage. The heigh h, in feet, of the field, x feet from the side, is given by x=-0.00035x^2+0.03x. Find the height of the field a distance 35 feet from the side.

Answer 1

Functions

The height of the football field in feet is given by the function:

$h=-0.00035x^2+0.03x$

It's required to find the height of the field when x=35 feet. Substituting:

$h=-0.00035\cdot35^2+0.03\cdot35$

Calculating:

$\begin{gathered} h=-0.42875+1.05 \\ h=0.62125 \end{gathered}$

The height of the field is 0.62125 feet

Rounding to one decimal: h = 0.6 feet