HELP PLEASE * will medal * check my work? The fuel tank of a certain airplane can hold up to 200 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=6F+3000 gives w as the 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.
what values do u have
First off, how do you define "domain" and "range?" You are given a function here. Which variable is the independent variable, and which the dependent? Does "domain" pertain to "independent variable" or "dependent variable?" Learning the meaning of these terms will make this and other problems easier for you.
Domain of a function is the set of all possible inputs. The Range of a function is the set of all possible outputs.
my guess is this, am I right? @mathmale
Yes, although I wish you'd phrased your answer "this is what I know from having looked up those two terms." type out the function here, defining each of the two variables. Which variable seems to depend on the other variable?
w=6f + 3000 is your function. It states that the weight of the plane depends upon the number of gallongs of fuel in its tank. 3000 represents the weight of the plane when the fuel tank is empty. So, what are examples of acceptable input values (f values)? unacceptable values? What is the smallest value that the weight of the plane could have? What would b e the weight of the plane if the tank held 60 gallons? What would you say if I asked you the same question if I told you there were 240 gallons in the tank? If you can answer these questions correctly, you will have given both the domain and range.
Important: identify the independent variable, as well as the dependent one. The domain is associated with the independent variable and consists of the set of all ACCEPTABLE values of that variable. You have chosen "weight of plane" as "domain." unfortunately, that is not correct. identify the independent variable.
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