Question

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Word problem on direct variation
Suppose that the distance a car travels varies directly with the amount of gasoline it uses. A certain car uses 5 gallons of gasoline to travel 130 miles. If the car
travels 702 miles, how much gasoline does it need?
gallons
Explanan
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Kamilah
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800
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Answer 1

27 gallons

Explanation:

let d be distance and g be amount of gasoline used.

given d varies directly with g then the equation relating them is

d = kg ← k is the constant of variation

to find k use the condition g = 5 when d = 130 , then

130 = 5k ( divide both sides by 5 )

26 = k

d = 26g ← equation of variation

when d = 702 miles , then

702 = 26g ( divide both sides by 26 )

27 = g

to travel 702 miles requires 27 gallons of gasoline