Answer
The relation is a linear function.
For every increase in the number of soup cans, the amount of money increases by 1.29 dollars.
Equation: y=1.29x+52.07
Work Step by Step
The relationship is a linear function because the graph increases by 1.29 dollars every time for every soup can.
Equation:
Slope: $\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}$
$\frac{(54.65-52.07)}{(2-0)}$
$\frac{2.58}{2}$
$\frac{1.29}{1}$
slope=1.29
y-int: y=1.29x+b (substitute any x & y value from the table)
55.94=1.29(3)+b
55.94=3.87+b
-3.87 -3.87
52.07=b
Equation: y=1.29x+52.07
