Question

If Esteban continues at the same rate, how many miles will he have traveled in 6 hours?A.36B.300C.360D.420

Answer 1

Method 1

Pick two values from the graph and find the equation of a line.

(0 , 0) and (4 , 240)

Next, find the slope.

`\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}`

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