The distance that a car can trav varies directly with the number of liters of gasoline in the tank. If a car can go 90 kilometers on 5 liters of gas, how many liters of gasoline is need for a 250-kilometer trip?

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Jamelbenibrahimviz Jamelbenibrahimviz · Answer 1

Answer:

[tex]13 \frac{8}{9} \: liters[/tex]

Step-by-step explanation:

Let:

d-distance

l-liters of gasoline

k-constant

[tex]d = kl[/tex]

If

[tex]d = 90 \: km \: and \: l = 5 \: l[/tex]

then

[tex]k = \frac{d}{l} = \frac{90}{5} = 18 \: (constant)[/tex]

For

[tex]d = 250 \: km[/tex]

then

[tex]l = \frac{d}{k} = \frac{250}{18} = 13 \frac{8}{9} \: liters[/tex]

Therefore, 13 8/9 liters is needed for a 250-km trip.

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