To find the average rate of change between 3.9 seconds and 8.2 seconds, we need to calculate the slope of the line passing through the points (3.9, f(3.9)) and (8.2, f(8.2)).
First, we find f(3.9):
f(3.9) = 1.6875 * 3.9 = 6.58 feet/second
Next, we find f(8.2):
f(8.2) = 1.6875 * 8.2 = 13.87 feet/second
Now, we calculate the average rate of change:
Average rate of change = (f(8.2) - f(3.9)) / (8.2 - 3.9)
= (13.87 - 6.58) / (8.2 - 3.9)
= 7.29 / 4.3
≈ 1.69 feet/second
Therefore, the estimated average rate of change between 3.9 seconds and 8.2 seconds is about 1.69 feet/second.
The speed of an elevator (in feet per second) is modeled by the function f(x) = 1.6875x where x is time in secondsEstimate the average rate of change between 3.9 seconds and 8.2 secondsRound the final answer to two decimal places (point ) about 1 69 feet/second about 0.59 feet/second about 6 75 feet /second about 4.00 feetsecond
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