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.

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.