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Answer :

Step 1

Find the equation of the line.

First, pick two points.

(2.5, 100) and (5, 200)

Step 2

Find the slope

[tex]\begin{gathered} \text{Slope m = }\frac{y_2-y_1}{x_2-x_1} \\ m\text{ = }\frac{200\text{ - 100}}{5\text{ - 2.5}} \\ m\text{ = }\frac{100}{2.5} \\ m\text{ = 40} \\ i\text{ntercept c = 0} \\ \text{The equation of a line is:} \\ y\text{ = mx + c} \\ y\text{ = 40x} \end{gathered}[/tex]

y represent distance and x represent time

The distance traveled after 15 hours = 40 x 15 = 600