Question

This table shows the relationship between x and y.XY3196.5639313851.5Which equation models this relationship?

Answer 1

In this case, the model that represents y as a function of x has the form of a linear equation: y=mx, we can find the value of m by following this formula:

`m=(y2-y1)/(x2-x1)`

To find the value of m, we just need to replace some pairs of x-y values from the table, for example, we can choose the points (3,196.5) and (13,851.5)

`m=(851.5-196.5)/(13-3)=(655)/(10)=65.5`

Then the equation is:

`y=65.5x`