# Gallons to liters function

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• Oct 19th 2008, 07:28 PM
rsox2004
Gallons to liters function
When purchasing fuel in Canada, Joe fills his empty gas tank with 106 liters of gasoline. Joe knows his tank holds 28 gallons of gas. Use this information to write an exact function g(l) in terms of liters (l) that would convert liters into gallons.

I can do it where you use a ratio, but my answer isn't very specific or exact, it's also not g(l).
• Oct 19th 2008, 07:37 PM
terr13
Just simplify the ratio that you have, and make it so that the side with the liters = 1.

We know g(106) = 28. so g = (28/106)= 14/53.
g(l) = (14/53)l.
• Oct 19th 2008, 07:42 PM
rsox2004
g(106l)=28

divide both sides by 106 to get g(1l) right?

g(l)=14/53.
• Oct 19th 2008, 07:46 PM
terr13
It has to have l in it, since the function depends on how many liters you have, so just multiply it by l.
• Oct 19th 2008, 08:02 PM
rsox2004
Where does the l go though? I'm not following that.
• Oct 19th 2008, 08:03 PM
terr13
(14/53)l.

If you have 106 liters, put 106 where the l is and you get your answer.
• Oct 19th 2008, 08:08 PM
rsox2004
Oh okay. I got it now, thank you!