Question

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Answer 1

(1) The train travels 4 miles per gallon.

(2) The slope of the graph is $m=\frac{1}{4}$

Explanation:

(1) The miles that train travels per gallon is given by

$Miles= \frac{800}{200}$

Dividing, we have,

$Miles= 4$

Thus, the train travels 4 miles per gallon.

(2) To determine the slope, let us consider two points from the graph.

The coordinates are $(0,0)$ and $(800,200)$

Thus, substituting the coordinates in the slope formula, we get,

$m=\frac{200-0}{800-0}$

Simplifying, we have,

$m=\frac{200}{800} =\frac{1}{4}$

Thus, the slope of the graph is $m=\frac{1}{4}$