Exercise 57 Page 290

All four options show linear equations. This means the table of values is bound to show a constant rate of change. Examining the table, we see that $x$ increases by $1$ from one row to the next. Since we have a change in $x$ of $1$, the change in $y$ between two rows will give us the equation's slope. Let's examine that change. The slope is $8,$ which means our linear equation can be written in the form $y=8x+b.$ Let's finish the equation by determining the $y\text{-}$intercept $b$ as well. We can do that by substituting one of the given points from the table of values in our equation and solving for $b.$ The equation that represents the relationship shown is $y=8x-7.$ This corresponds to answer C.