To determine how Myra's distance changes over time, we need to analyze how the total distance varies at different time intervals.
1. Calculate the change in distance for each consecutive time interval:
- From 0 to 2 minutes: [tex]\(0.4 - 0.0 = 0.4 \text{ miles}\)[/tex]
- From 2 to 4 minutes: [tex]\(0.8 - 0.4 = 0.4 \text{ miles}\)[/tex]
- From 4 to 6 minutes: [tex]\(1.2 - 0.8 = 0.4 \text{ miles}\)[/tex]
- From 6 to 8 minutes: [tex]\(1.6 - 1.2 = 0.4 \text{ miles}\)[/tex]
2. Rate of change for each interval:
- 0.4 miles in each 2-minute interval
3. Determine the nature of the rate of change:
- Since each calculated change in distance is positive, we understand that Myra's distance is consistently increasing over these periods.
4. Conclusion:
- The distances are 0.0, 0.4, 0.8, 1.2, and 1.6 miles, respectively. All these values are increasing as time progresses.
Therefore, the description that best describes Myra's distance as time increases is:
increasing
