Answer
$w(x)=0.24x$
Work Step by Step
The weight $w(x)$ of $x$ feet of cable is the product between $x$ and the weight per foot:
$$w(x)=0.24x$$
Since the weight of the cable is greater than $0$, the domain is $x\geq 0$:
$$\text{Domain}=\{x|x\geq 0\}$$
The range consists of the values $0.24x$, so it is $y\geq 0$:
$$\text{Range}=\{y|y\geq 0\}$$
As the graph is unbroken, the function is continuous.
