Question

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

Answer 1

let take two points as miles and gas used:

`\begin{gathered} (x_1,y_1)=(3,228) \\ (x_2,y_2)=(5,380) \end{gathered}`

First find the slope:

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(380-228)/(5-3) \\ m=(152)/(2) \\ m=76 \end{gathered}`

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

`\begin{gathered} (y-y_0)=m(x-x_0) \\ y-0=76(x-0) \\ y=76x \end{gathered}`