With 51 gallons of fuel in its tank, the airplane has a weight of 2390.7 pounds. what is the weight of the plane with 81 gallons of fuel in its tank? the slope is 5.7

2561.7 pounds

Explanation:

If we assume the total weight of an airplane (in pounds units) as a linear function of the amount of fuel in its tank (in gallons) and we make a Weight vs amount of fuel graph, which resulting slope is 5.7, we can use the slope equation of the line:

 (1)

Where:

is the slope of the line

is the airplane weight with  51 gallons of fuel in its tank (assuming we chose the Y axis for the airplane weight in the graph)

is the fuel in airplane's tank for a total weigth of 2390.7 pounds (assuming we chose the X axis for the a,ount of fuel in the tank in the graph)

This means we already have one point of the graph, which coordinate is:

Rewritting (1):

 (2)

As Y is a function of X:

 (3)

Substituting the known values:

 (4)

 (5)

 (6)

Now, evaluating this function when X=81 (talking about the 81 gallons of fuel in the tank):

 (7)

 (8)   This means the weight of the plane when it has 81 gallons of fuel in its tank is 2561.7 pounds.

energy can be converted from one form to another, but it cannot be created or destroyed in ordinary chemical or physical means. do not understand what you are asking but hope this