2017 Gauss 8 Problem 9

Tian measured her steps and found that it took her 625 steps to walk 500 m. If she walks 10\,000 steps at this same rate, what distance will she walk?

\textbf{(A)}\ 6.4 \text{ km}\quad \textbf{(B)}\ 6.25 \text{ km}\quad \textbf{(C)}\ 7.5 \text{ km}\quad \textbf{(D)}\ 8 \text{ km}\quad \textbf{(E)}\ 7.2 \text{ km}

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Gauss contests here.