To develop a linear equation for the total cost of entering the fair and riding \( x \) rides, we can break it down into two components:
- The cost to enter the fair, which is a fixed amount of $12.
- The cost of each ride, which is $3 per ride.
If you ride \( x \) rides, the total cost for the rides will be \( 3x \).
Putting both components together, the total cost \( C \) can be expressed as:
\[ C = 12 + 3x \]
This is the linear equation representing the total cost of entering the fair and riding \( x \) rides.