Answer
$ 0.00001132x^3$
Horizontal stretch of $H(x)$
Work Step by Step
We are given the function:
$H(x)=0.00004636x^3$
Determine the function so that $x$ represents the speed in kilometers per hour:
$H\left(\dfrac{x}{1.6}\right)=0.00004636\left(\dfrac{x}{1.6}\right)^3=\dfrac{0.00004636}{4.096}x^3\approx 0.00001132x^3$
The graph of the function $H\left(\dfrac{x}{1.6}\right)$ is a horizontal stretch of $H(x)$.
