To find the rate of change of the distance in feet below sea level with respect to time, we need to calculate the slope of the line that represents the linear relationship between time and distance.
First, we need to calculate the change in distance and change in time for two points on the line. Let's choose the first two points (0,460) and (18,604).
Change in distance = 604 - 460 = 144 feet
Change in time = 18 - 0 = 18 seconds
Now, we can calculate the rate of change:
Rate of change = Change in distance / Change in time
Rate of change = 144 feet / 18 seconds = 8 feet/second
Therefore, the rate of change of the distance in feet below sea level with respect to time that the submarine traveled is 8 feet/second.
The table shows the linear relationship between the distance in feet below sea level and the time in seconds traveled by a submarine.
Time (seconds):0,18,34,52,70
Distance Below Sea Level (feet):460,604,732,876,1020
What is the rate of change of the distance in feet below sea level with respect to time that the submarine traveled?
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1 answer