To write a linear equation representing the distance Jordan has walked after \( x \) hours, we start by identifying the factors involved:
- The rate at which Jordan hikes: \( 2 \) miles per hour.
- The time spent hiking: \( x \) hours.
- The distance walked can be calculated using the formula:
\[ \text{Distance} = \text{Rate} \times \text{Time} \]
In this case, the rate is \( 2 \) miles per hour. Thus, the equation for the distance \( y \) Jordan has walked after \( x \) hours will be:
\[ y = 2x \]
So the correct equation representing the distance Jordan has walked after \( x \) hours is:
\( y = 2x \)