The graph below shows the relationship between the distance traveled by a motorist and the time of travel. Find the slope of the line between the two points shown on the graph, namely (1, 80) and (3, 240). Write a sentence that states the meaning of the slope.
A) m = 80; The distance traveled by the motorist in 2 hours is 80 miles.
B) m = 240; The average speed of the motorist is 240 mph.
C) m = 80; The average speed of the motorist is 80 mph.
D) m = 160; The average speed of the motorist is 160 mph.
E) m = 60; The average speed of the motorist is 60 mph.

Question

The graph below shows the relationship between the distance traveled by a motorist and the time of travel. Find the slope of the line between the two points shown on the graph, namely (1, 80) and (3, 240). Write a sentence that states the meaning of the slope. 
A) m = 80; The distance traveled by the motorist in 2 hours is 80 miles. 
B) m = 240; The average speed of the motorist is 240 mph. 
C) m = 80; The average speed of the motorist is 80 mph. 
D) m = 160; The average speed of the motorist is 160 mph. 
E) m = 60; The average speed of the motorist is 60 mph.

Quizplus · Accepted Answer

The slope of the line between the two points is calculated as (240-80)/(3-1) = 160/2 = 80. Therefore, the slope is 80, which means that the motorist traveled an average speed of 80 miles per hour.

The Graph Below Shows the Relationship Between the Distance Traveled