Answer
There were are around 463,772 American students who studied abroad in 2015.
Work Step by Step
2015 is 15 years after 2000 so $x=15$.
Substitute 15 to $x$ in the given equation to have:
$\\y=140,242(1.083)^x
\\y=140,242(1.083)^{15}
\\y=463,772.4498
\\y\approx 463,772$