The graph below shows how the amount of fuel in the tank of a car decreases as the car is driven. Find the slope of the line between the two points shown on the graph, namely (50, 15) and (150, 9). Write a sentence that states the meaning of the slope.
A) m = -0.06; For each 100 miles the car is driven, approximately 0.06 gal of fuel is used.
B) m = -0.06; For each mile the car is driven, approximately 0.06 gal of fuel is used.
C) m = -0.06; The car averages approximately 60 miles per gallon.
D) m = 0.06; For each mile the car is driven, approximately 0.06 gal of fuel is used.
E) m = -0.6; For each mile the car is driven, approximately 0.6 gal of fuel is used.

Question

The graph below shows how the amount of fuel in the tank of a car decreases as the car is driven. Find the slope of the line between the two points shown on the graph, namely (50, 15) and (150, 9). Write a sentence that states the meaning of the slope. 
A) m = -0.06; For each 100 miles the car is driven, approximately 0.06 gal of fuel is used. 
B) m = -0.06; For each mile the car is driven, approximately 0.06 gal of fuel is used. 
C) m = -0.06; The car averages approximately 60 miles per gallon. 
D) m = 0.06; For each mile the car is driven, approximately 0.06 gal of fuel is used. 
E) m = -0.6; For each mile the car is driven, approximately 0.6 gal of fuel is used.

Quizplus · Accepted Answer

The slope of a line represents the rate of change between two variables. In this case, the slope represents how much fuel is consumed for each mile the car is driven. Therefore, the correct statement is "For each mile the car is driven, approximately 0.06 gal of fuel is used."

The Graph Below Shows How the Amount of Fuel in the Tank