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Q6) The table below shows the relationship between the number of miles traveled, x,and the number of gallons of gas used, y.х35711Y228380532836Which of the following equations best represents the relationship?a) y = 7.6xb) y = 684xc) y = 0.13xd) y = 76x

Respuesta :

let take two points as miles and gas used:

[tex]\begin{gathered} (x_1,y_1)=(3,228) \\ (x_2,y_2)=(5,380) \end{gathered}[/tex]

First find the slope:

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{380-228}{5-3} \\ m=\frac{152}{2} \\ m=76 \end{gathered}[/tex]

Now find the equation at initial condition where distance and gas used are equal to zero.

[tex]\begin{gathered} (y-y_0)=m(x-x_0) \\ y-0=76(x-0) \\ y=76x \end{gathered}[/tex]

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