Answer
The relation is a linear function.
For every decrease in gallons of gas, the miles traveled increases by 17 miles.
Equation: y=-$\frac{1}{17}$x+11.2
Work Step by Step
The relationship is a linear function because the graph decreases by 1 gallon every time for every 17 miles traveled
Equation:
Slope: $\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}$
$\frac{(9.2-10.2)}{(34-17)}$
$\frac{-1}{17}$
slope=$\frac{-1}{17}$
y-int: y=$\frac{-1}{17}$x+b (substitute any x & y value from the table)
11.2=$\frac{-1}{17}$(0)+b
11.2=0+b
11.2=b
Equation: y=$\frac{-1}{17}$x+11.2