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Answer :
Final answer:
The range of the function F(h) representing the fuel remaining after h hours in a boat's gas tank is from 15 to 30 gallons.
Explanation:
The student asked about the range of the function F(h), which represents the volume of fuel remaining in the boat's gas tank after h hours of a cruise.
Given that the boat starts with 30 gallons of fuel and uses 5 gallons per hour, we can establish the equation
F(h) = 30 - 5h. During a 3-hour cruise, the function ranges from the initial amount of fuel to the amount remaining after 3 hours: F(0) = 30 gallons and F(3) = 30 - (5*3) = 15 gallons.
Thus, the range of F(h) is the set of values that F(h) can take, which is from 15 to 30 gallons.
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