SOLUTION: Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope o
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-> SOLUTION: Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope o
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Question 293909: Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope of 5.7.
With 47 gallons of fuel in its tank, the airplane has a weight of 2367.9 pounds. What is the weight of the plane with 20 gallons of fuel in its tank?
You can put this solution on YOUR website! You could start with the slope-intercept form of a linear equation: where: W = weight of plane and F = amount of fuel in gallons.
The slope, m, of the function is given as: so you can substitute. You can find b, the W-intercept (or the weight of the plane with no fuel) by substituting the given fuel and weight amounts: W = 2367.9 and F = 47. so the final equation is: Now you can find the weight, W, of the plane when it has 20 gallons of fuel (F=20) in its tank. Substitute F = 20. lbs.
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