SOLUTION: The number of gallons of fuel used on a trip varies directly with the number of miles traveled. If a trip of 200 miles required 12 gallons of fuel, how many gallons are required fo

Algebra ->  Finance -> SOLUTION: The number of gallons of fuel used on a trip varies directly with the number of miles traveled. If a trip of 200 miles required 12 gallons of fuel, how many gallons are required fo      Log On


   



Question 1179893: The number of gallons of fuel used on a trip varies directly with the number of miles traveled. If a trip of 200 miles required 12 gallons of fuel, how many gallons are required for a trip of 300 miles? Be sure to respond in a complete sentence that explains your answer in relation to the question.
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52784) About Me  (Show Source):
You can put this solution on YOUR website!
.

Make a relevant proportion


    200%2F12 = 300%2Fx.


From the proportion, find x


    x = %2812%2A300%29%2F200 = %2812%2A3%29%2F2 = 6*3 = 18 gallons.     ANSWER

Solved.

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Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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The number of gallons of fuel used on a trip varies directly with the number of miles traveled.
----------------------------------------------------

v, gallons of fuel
d, distance traveled, miles
k, variation constant

v=kd


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..., a trip of 200 miles required 12 gallons of fuel,
---------------------------------------------------------------

k=v%2Fd
k=12%2F200
k=6%2F100=3%2F50
-
highlight%28v=%283%2F50%29d%29
.
.