Answer
The rate of change is constant, the data in the table can be modeled by a linear equation.
The linear equation is $y=0.2x+1.2$
Work Step by Step
The rate of change for consecutive data pairs in the table.
$\Rightarrow \frac{1.4-1.2}{1-0}=\frac{0.2}{1}=0.2$
$\Rightarrow \frac{1.6-1.4}{2-1}=\frac{0.2}{1}=0.2$
$\Rightarrow \frac{2-1.6}{4-2}=\frac{0.4}{2}=0.2$
Because the rate of change is constant, the data in the table can be modeled by a linear equation.
Slope is $m=0.2$
Use the point $(x_1,y_1)=(4,2)$
The point-slope form is
$\Rightarrow y-y_1=m(x-x_1)$
Substitute $0.2$ for $m,4$ for $x_1$ and $2$ for $y_1$.
$\Rightarrow y-2=0.2(x-4)$
Use distributive property.
$\Rightarrow y-2=0.2x-0.8$
Add $2$ to each side.
$\Rightarrow y=0.2x+1.2$
