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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 6.2. See the figure below.
with 49 gallons of fuel in its tank, the airplane has a weight of 2303.8 pounds. What is the welght of the plane with 18 gallons of fuel in its tank?

Sagot :

mhanifa

Answer:

  • 2111.6 pounds

Step-by-step explanation:

The linear function in this case:

  • y = mx + b, where y- weight, x- amount of fuel, m- slope, b- weight of the empty airplane

We have:

  • y = 2303.8, when x = 49 and m = 6.2

Find the value of b:

  • 2303.8 = 6.2*49 + b
  • 2303.8 = 303.8 + b
  • b = 2000

The equation is now:

  • y = 6.2x + 2000

Find the value of y when x = 18:

  • y = 6.2*18 + 2000
  • y = 2111.6
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