Question

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.

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.