(1) The train travels 4 miles per gallon.
(2) The slope of the graph is [tex]m=\frac{1}{4}[/tex]
Explanation:
(1) The miles that train travels per gallon is given by
[tex]Miles= \frac{800}{200}[/tex]
Dividing, we have,
[tex]Miles= 4[/tex]
Thus, the train travels 4 miles per gallon.
(2) To determine the slope, let us consider two points from the graph.
The coordinates are [tex](0,0)[/tex] and [tex](800,200)[/tex]
Thus, substituting the coordinates in the slope formula, we get,
[tex]m=\frac{200-0}{800-0}[/tex]
Simplifying, we have,
[tex]m=\frac{200}{800} =\frac{1}{4}[/tex]
Thus, the slope of the graph is [tex]m=\frac{1}{4}[/tex]
