To represent the total number of posts, \( y \), as a function of the number of elapsed days, \( x \), we can use the following equation:
\[ y = 9 + x \]
In this equation:
- \( 9 \) represents the initial number of posts Julia has made.
- \( x \) represents the number of days that have elapsed since she started posting daily.
Therefore, for each day that passes (each increment in \( x \)), the total number of posts \( y \) increases by 1.