To find the slopes of the two graphs, we can use the formula for the slope of a line, which is given by:
\[ \text{slope} = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1} \]
For Car 1:
Points: \((2, 50)\) and \((4, 100)\)
Calculating the slope: \[ \text{slope}_{Car 1} = \frac{100 - 50}{4 - 2} = \frac{50}{2} = 25 \]
For Car 2:
Points: \((2, 40)\) and \((4, 80)\)
Calculating the slope: \[ \text{slope}_{Car 2} = \frac{80 - 40}{4 - 2} = \frac{40}{2} = 20 \]
Comparing the slopes:
- Slope of Car 1 = 25
- Slope of Car 2 = 20
Now we can find the difference in slopes: \[ \text{slope}{Car 1} - \text{slope}{Car 2} = 25 - 20 = 5 \]
So, the slope of Car 1’s graph is 5 greater than the slope of Car 2’s graph.
The accurate statement is: The slope of Car 1’s graph is 5 greater than the slope of Car 2’s graph.