Suppose that the weight (in kilograms) of an airplane is a linear function of the amount of fuel (in liters) in its tank. When carrying 20 liters of fuel, the airplane weighs 2016 kilograms. When carrying 35 liters of fuel, it weighs 2028 kilograms. How much does the airplane weigh if it is carrying 45 liters of fuel?

Step-by-step explanation:

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the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is