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Answer :
Final answer:
The function representing the plane's distance from Chicago t hours after leaving Houston is d(t) = 940 - 485t, where 485 miles per hour is the speed of the plane.
Explanation:
The question at hand involves determining the function that represents the plane's distance d in miles from Chicago t hours after leaving Houston. Given that the flight is approximately 940 miles long and the plane travels at an average rate of 485 miles per hour, we can derive this function by understanding that distance covered over time is the product of speed and time.
Hence, to calculate the remaining distance from Chicago at any given time t, we subtract the distance covered until that time from the total distance of the journey.
Therefore, the function is d(t) = 940 - 485t. This function represents the distance in miles from Chicago t hours after the plane leaves Houston, with 485 miles per hour being the speed of the plane.
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Answer:
D(t) = 485t + 940
Step-by-step explanation:
D(t) = ?
We are told that the flight itself is 940 miles. This is a constant value, it will not change.
D(t) = ? + 940
Following this, we are also told the plane travels at 485 miles per hour. MPH usually indicates multiplication. 485 miles per each of hour (time here is represented by the variable t). 485t
D(t) = 485t + 940
