To represent the total cost \( y \) based on the number of months \( x \), you can create the following equation:
\[ y = 24x + 88 \]
In this equation, \( 24x \) represents the monthly cost for \( x \) months, and \( 88 \) is the initial registration fee.
Now, to find the total cost for one person who has a membership for 10 months, substitute \( x = 10 \) into the equation:
\[ y = 24(10) + 88 \]
Calculating this:
\[ y = 240 + 88 \] \[ y = 328 \]
Therefore, the total cost for one person to have a membership for 10 months is $328.