Solution
Method 1
Pick two values from the graph and find the equation of a line.
(0 , 0) and (4 , 240)
Next, find the slope.
[tex]\begin{gathered} \text{Slope = }\frac{change\text{ in distance}}{chang\text{e in time}} \\ slope\text{ = }\frac{240\text{ - 0}}{4\text{ - 0}} \\ Slope\text{ m = 60} \end{gathered}[/tex]
Next, find the intercept
The intercept c = 0
Therefore, the equation of the line is
d = 60t
Number of miles he will travel in 6 hours = 60 x 6 = 360
Answer
Option C 360
Method 2
Trace the line where it will intercept at 6 hours and trace it to the distance in miles
At 6 hours, he will have traveled 36 miles
In tens of miles it will be 36 x 10 = 360 miles
Final answer
360 miles
Option C
