Given:
The slope of the line is 5.8.
One of the points in the line is (50, 2290).
To find:
The weight of 81 gallons of fuel in its tank.
Explanation:
Using the point-slope formula,
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-2290=5.8(x-50) \\ y-2290=5.8x-290 \\ y=5.8x+2000 \end{gathered}[/tex]
Therefore, the linear equation related to the amount of fuel and aeroplane weight is,
[tex]y=5.8x+2000[/tex]
Substituting x = 81 in the above equation, we get,
[tex]\begin{gathered} y=5.8\times81+2000 \\ y=2469.8 \end{gathered}[/tex]
Therefore, the weight of the plane is 2469.8 pounds.
Final answer:
The weight of the plane is 2469.8 pounds.
