Linear Functions: Model from a Verbal Description - Quiz - Level H 4) Marco is driving to the Grand Canyon. His distance from the Grand Canyon decreases 150 mi every 3 h . After 4 h , his distance from the Grand Canyon is 200 mi . Marco's distance from the Grand Canyon in miles, \( y \), is a function of the number of hours he drives, \( x \). (4) What is the rate of change? Find the change in Marco's distance each hour. (4) rate of change:

To find the rate of change in Marco's distance from the Grand Canyon, we can follow these steps: 1. **Identify the known values:** - Marco's distance decreases by 150 miles every 3 hours. - We need to find the change in distance per hour. 2. **Calculate the rate of change:** - The rate of change can be calculated by dividing the total change in distance by the total time taken. - Here, the total change in distance is -150 miles (since the distance is decreasing), and the total time is 3 hours. \[ \text{Rate of change} = \frac{\text{Change in distance}}{\text{Time}} = \frac{-150 \text{ mi}}{3 \text{ h}} \] 3. **Perform the calculation:** \[ \text{Rate of change} = -50 \text{ mi/h} \] Thus, the rate of change in Marco's distance from the Grand Canyon is \(-50\) miles per hour. This means that for every hour Marco drives, his distance from the Grand Canyon decreases by 50 miles.