Question

Suppose that the weight in pounds of an airplane is a linear function of the total amount of fuel in gallons and its tank. When graphed the function gives a line with a slope of 5.8 Seethe figure belowWith 50 gallons of fuel and its tank, the airplane has a weight of 2290 pounds. What is the weight of the plane with 81 gallons of fuel in its tank

Answer 1

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.

Step-by-step explanation:

Using the point-slope formula,

`\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}`

Therefore, the linear equation related to the amount of fuel and aeroplane weight is,

`y=5.8x+2000`

Substituting x = 81 in the above equation, we get,

`\begin{gathered} y=5.8*81+2000 \\ y=2469.8 \end{gathered}`

Therefore, the weight of the plane is 2469.8 pounds.

Final answer:

The weight of the plane is 2469.8 pounds.