To predict the number of inches of snow after 10 hours using the equation \( y = 1.7x + 0.1 \), we need to substitute \( x = 10 \) into the equation.
\[ y = 1.7(10) + 0.1 \]
Calculating this: \[ y = 17 + 0.1 = 17.1 \]
Therefore, after 10 hours, the snowfall would be approximately 17.1 inches.