The fuel tank of a certain airplane can hold up to 400 gallons of fuel. Let W be the total weight of the airplane (in pounds). Let F be the total amount of fuel in its tank (in gallons). Suppose that = W+7F5000 gives W as a function of F. Identify the correct description of the values in both the domain and range of the function. Then, for each, choose the most appropriate set of values.

Question

Jaime Duran

Mathematics

14 September, 08:47

The fuel tank of a certain airplane can hold up to 400 gallons of fuel. Let W be the total weight of the airplane (in pounds). Let F be the total amount of fuel in its tank (in gallons). Suppose that = W+7F5000 gives W as a function of F. Identify the correct description of the values in both the domain and range of the function. Then, for each, choose the most appropriate set of values.

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Jay Atkinson · Answer 1

A reasonable function is W = 7F + 5000

Where W is the weight of the plane and F is the number of gallons of fuel.

The domain is the set of possible values for F. That is from 0 (empty tank) to 400 (full tank).

So the domain is F = [0,400], or what is equivalente 0 ≤ F ≤ 400.

The range is the set of values of W.

The minimum value of W is when F = 0 = > W = 7 (0) + 5000 = 5,000.

The maximum value of W is when F = 400 = > W = 7 (400) + 5000 = 7,800

So the range is W = [5,000; 7,800], pr 5000 ≤ W ≤ 7,800.