SOLUTION: Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 18 gallons of fuel, the airplane weighs 2199 p

Question 1167869: Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 18 gallons of fuel, the airplane weighs 2199 pounds. When carrying 44 gallons of fuel, it 2342 weighs pounds. How much does the airplane weigh if it is carrying 62 gallons of fuel?
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.


From the condition, the weight of 1 gallon of fuel is 


    w =  = 5.5 pounds.


Now, to answer the question, we need to add the weight of (62-44) = 18 gallons of fuel to the weight of the plane 
carrying 44 gallons of fuel, 2342 pounds.


So, the answer is 2342 + 18*5.5 = 2441 pounds.

Answer. 2441 pounds.

Solved.

This problem was posted and solved MANY TIMES at this forum.

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in this site.

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The referred lesson is the part of this online textbook under the topic "Systems of two linear equations in two unknowns".

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Free of charge online textbook in ALGEBRA-I
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to your archive and use it when it is needed.

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