Answer :
Final answer:
The domain of the function F(h), which represents the amount of fuel left in the boat after h hours of cruising, is all real numbers between 0 and 3, inclusive. This is because the boat's cruise, or operation time, spans a period of 3 hours.
Explanation:
In the question, Leslie is operating a pontoon boat for a 3-hour long birthday cruise. The boat uses 5 gallons of fuel per hour and starts with a full tank of 30 gallons. The function F(h) represents the amount of fuel left in the tank after h hours of cruising. The domain of a function is the set of all possible input values (in this case, hours h).
Since the cruise lasts for 3 hours, and it is unlikely that Leslie would run the boat without any passengers, the minimum value for h would be 0 (right when the cruise starts). The maximum value would be 3, at the end of the cruise. Therefore the domain of F(h) is all real numbers such that 0 <= h <= 3.
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Final answer:
The domain of the function F(h) representing the volume of fuel remaining in the boat's gas tank after h hours of the cruise is [0, ∞).
Explanation:
The domain of the function F(h) represents the possible values that the input variable h can take. In this case, h represents the number of hours of the boat cruise. The domain of F(h) would be all non-negative values of h since it would not make sense to have a negative number of hours. Therefore, the domain of F(h) would be [0, ∞).
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