Answer:
Bus B travels faster.
Step-by-step explanation:
Bus A travels according to the equation
y = 125/2 x
This equation is in the form y = mx + b, where m = 125/2, and b = 0.
m is the slope, so the slope is 125/2 which equals 62.5
The slope is the rate of change. Since y is distance in miles, and x is time in hours, the slope is the speed in miles per hour.
The speed of Bus A is 62.5 miles per hour.
Bus B travels according to the graph. We can find the slope by using easy-to-read points on the graph. The slope is the speed in miles per hour.
Look for two points on grid line intersections since they are the easiest ones to read. Let's use point (0, 0) and point (3, 200). Now that we have 2 points, we can find the slope.
[tex] slope = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex] slope = \dfrac{200 - 0}{3 - 0} [/tex]
[tex] slope = \dfrac{200}{3} = 66.67 [/tex]
The speed of Bus 2 is 66.67 miles per hour.
Answer: Bus B travels faster.
