1. **State the problem:** We are given the expression $150 - 30h$ which represents the remaining distance after traveling at 30 miles per hour for $h$ hours from an initial distance of 150 miles. 2. **Understand the formula:** The formula for distance traveled is $\text{distance} = \text{speed} \times \text{time}$. Here, speed is 30 miles per hour and time is $h$ hours, so distance traveled is $30h$ miles. 3. **Calculate remaining distance:** The remaining distance after traveling is the initial distance minus the distance traveled: $$\text{remaining distance} = 150 - 30h$$ 4. **Interpretation:** This expression decreases as $h$ increases, meaning the more hours traveled, the less distance remains. 5. **Example:** If $h=2$ hours, then remaining distance is: $$150 - 30 \times 2 = 150 - 60 = 90$$ miles. This confirms the formula works as expected. **Final answer:** The remaining distance after traveling for $h$ hours at 30 miles per hour from 150 miles away is: $$150 - 30h$$