Answer
linear;
$g(x)=3x+5$
Work Step by Step
The ratio of consecutive values is not constant ($\frac{5}{2}\ne\frac{8}{5}$), hence, it is not an exponential function.
The difference of consecutive values is constant, hence it is a linear function.
The difference of consecutive values is $3$, hence the coefficient of $x$ (or slope) is $3$.
Since $f(0)=5$, then the $y$-intercept is $5$.
Thus, the slope-intercept form of the linear function that models the data is $g(x)=3x+5.$
