After putting 13 gallons of gasoline into your car,The equation to express the situation is [tex]y=29x[/tex]
From the question, we have two quantities
- The amount of gasoline in my car (x)
- The distance I can cover with that amount of gasoline (y)
The two quantities are directly proportional to each other. That is,
- If I have more gasoline in my car, I can drive a longer distance.
- If I have less gasoline in my car, I can only cover a smaller distance.
Expressed mathematically,
[tex]x\propto y[/tex]
or, if we turn it into an equation relating [tex]x[/tex] and [tex]y[/tex]
[tex]x=ky[/tex]
We can substitute the values given in the equation to solve for [tex]k[/tex]. That is given that [tex]x=13[/tex] and [tex]y=377[/tex]
[tex]x=ky\\13=k\times 377\\\\k=\dfrac{13}{377}=\dfrac{1}{29}[/tex]
So our equation relating [tex]x[/tex] and [tex]y[/tex] is
[tex]x=\dfrac{y}{29}[/tex]
or, we can re-express the equation as
[tex]y=29x[/tex]
Learn more about direct proportion here https://brainly.com/question/1266676
