Math Help - Gallons to liters function

1. 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).

2. 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.

3. g(106l)=28

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

g(l)=14/53.

4. It has to have l in it, since the function depends on how many liters you have, so just multiply it by l.

5. Where does the l go though? I'm not following that.

6. (14/53)l.

If you have 106 liters, put 106 where the l is and you get your answer.

7. Oh okay. I got it now, thank you!