Answer
$10$ hours
Work Step by Step
The given function is
$\Rightarrow T(x)=\frac{470}{x+70}+\frac{250}{x+65}$.
Replace $x$ with $5$.
$\Rightarrow T(5)=\frac{470}{5+70}+\frac{250}{5+65}$.
Simplify.
$\Rightarrow T(5)=\frac{470}{75}+\frac{250}{70}$.
$\Rightarrow T(5)=\frac{94}{15}+\frac{25}{7}$.
$\Rightarrow T(5)=9.8380952381$.
Round to the nearest hour.
$\Rightarrow T(5)=10$.
The total driving time is about $10$ hours.
The point on the graph is $(5,10)$.