To represent the total number of kilometers Charlie has biked after \( x \) days, we can set up an equation based on his initial distance and his daily biking rate.
Charlie started with an initial distance of 10 km and bikes an additional 5 km each day. Therefore, the total distance \( y \) that Charlie has biked after \( x \) days can be expressed as:
\[ y = 10 + 5x \]
Here, \( y \) is the total kilometers Charlie has biked, \( 10 \) is his initial distance, \( 5 \) is the distance he bikes per day, and \( x \) is the number of days.