The table shows the number of miles a plane traveled one flight use the information to find the approximate rate of change in miles per minute round your answer to the tens place. Time(min) 30, 60, 90, 120 distance(mi) 290, 580, 870, 1160

Answer 1

To find the approximate rate of change in miles per minute, we can calculate the change in distance over the change in time between the first and the last points given (from 30 minutes to 120 minutes).

1. Find the total distance traveled:

   • Distance at 30 minutes: 290 miles
   • Distance at 120 minutes: 1160 miles

   Change in distance = 1160 miles - 290 miles = 870 miles

2. Find the total time elapsed:

   • Time = 120 minutes - 30 minutes = 90 minutes

3. Calculate the rate of change: \[ \text{Rate of change} = \frac{\text{Change in distance}}{\text{Change in time}} = \frac{870 \text{ miles}}{90 \text{ minutes}} \approx 9.67 \text{ miles per minute} \]

4. Round to the tens place:

   • Since the tens place represents whole numbers, and 9.67 rounds to 10 due to the decimal, we find:

   The approximate rate of change in miles per minute is 10 miles per minute.