# The power P generated by a certain wind turbine varies directly as the square of the wind speed w. The turbine generates 750 watts of power in a 25 mph wind. What is the power it generates in a 40 mph wind?

The function is $P = c \times {w}^{2}$, where $c =$ a constant.
$750 = c \times {25}^{2} \to 750 = 625 c \to c = \frac{750}{625} = 1.2$
$P = 1.2 \times {40}^{2} = 1920$ Watts.