Question

255 ft in 1/12 minute 510 ft in 1/6 minute 3060 ft in 1 mnute what is the ft rate of change

Answer 1

The rate of change is constant at 3060 feet per minute for the given intervals: 255 feet in 1/12 minute, 510 feet in 1/6 minute, and 3060 feet in 1 minute. This consistent rate implies uniform motion without acceleration or deceleration.

The given information describes distances covered in different time intervals. To find the rate of change in feet per minute, we can calculate the average speed during each interval.

1. For the first interval (1/12 minute): The rate of change is
`\( \frac{255 \, \text{ft}}{(1)/(12) \, \text{min}} = 3060 \, \text{ft/min} \).`

2. For the second interval (1/6 minute): The rate of change is
`\( \frac{510 \, \text{ft}}{(1)/(6) \, \text{min}} = 3060 \, \text{ft/min} \).`

3. For the third interval (1 minute): The rate of change is
`\( \frac{3060 \, \text{ft}}{1 \, \text{min}} = 3060 \, \text{ft/min} \).`

Consistently, the rate of change in each interval is 3060 ft/min. This indicates a constant rate of covering distance, suggesting uniform motion without acceleration or deceleration.