Question

I need help but I can't getting a tutor who doesn't even answer

Answer 1

We can put (months, cost) as a coordinate pair.

We can write two pair of points from the table:

`\begin{gathered} (x_1,y_1)=(2,268) \\ \text{and} \\ (x_2,y_2)=(3,322) \end{gathered}`

The equation of the line can be written using point slope form of a line shown below:

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

We substitute the points and get:

`\begin{gathered} y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1) \\ y-268_{}=(322-268)/(3-2)(x-2) \\ y-268=54(x-2) \\ y-268=54x-108 \\ y=54x-108+268 \\ y=54x+160 \end{gathered}`

If we use "m" and "t" for months and cost, we can write this equation as:

`t=54m+160`