Question

The two graphs below compare the gallons of gasoline used and the total distance traveled for two different cars.

Car 1
A graph has gallons of gasoline used on the x-axis and miles traveled on the y-axis. A line goes through points (2, 50) and (4, 100).

Car 2
A graph has gallons of gasoline used on the x-axis and miles traveled on the y-axis. A line goes through points (2, 40) and (4, 80).


Which comparison of the slopes of the two lines is accurate?
The slope of Car 1’s graph is 1 less than the slope of Car 2’s graph.
The slope of Car 1’s graph is 5 greater than the slope of Car 2’s graph.
The slope of Car 1’s graph is 5 less than the slope of Car 2’s graph.
The slope of Car 1’s graph is 10 greater than the slope of Car 2’s graph.

Answer 1

Answer:

The slope of Car 1’s graph is 5 greater than the slope of Car 2’s graph.

Step-by-step explanation:

Given: A graph for car 1 goes through points (2, 50) and (4, 100). A graph for car 2 goes through points (2, 40) and (4, 80).

To find: Slopes of car 1 and car 2

Solution:

Slope of line joining points $(x_1,y_1),(x_2,y_2)$ is given by $\frac{y_2-y_1}{x_2-x_1}$

Slope of line joining points (2, 50) and (4, 100) = $\frac{100-50}{4-2}=\frac{50}{2}=25$

Slope of line joining points (2, 40) and (4, 80) = $\frac{80-40}{4-2}=\frac{40}{2}=20$

The slope of Car 1's graph is 25 and the slope of Car 2's graph is 20.

So,

the slope of Car 1’s graph is $25-20=5$ greater than the slope of Car 2’s graph.

Answer 2

Answer:

B

Step-by-step explanation:

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