Bus A travels according to the function y= 125 + where y is distance traveled in miles and 2 is time in hours. Bus B travels according to the graph below, where the distance y is a function of time z Which bus travels faster?
Include all necessary calculations in your final answer

B

Step-by-step explanation:The graph of the question in the attached figure

we know that

the linear equation in slope intercept form is equal to

y = mx + b

where

m is the slope

b is the y-intercept

x --> is the time in hours

y --> is the distance in miles

In this problem we have

Bus A

y = 125/5 x  

The slope of the linear equation represent the speed of the bus

so

The speed of bus A is

125/5 = 25 miles/hour

Bus B

Find  the slope

take two points from the graph

(0,0) and (3,200)

The formula to calculate the slope between two points is equal to

m = y2 + y1/x2 - x1

substitute

m = 200 - 0/3 - 0  

m = 66.67 miles/hour

Compare the slope Bus A with the slope Bus B

66.67 mile/hour > 25 miles /hour

therefore

Bus B travel faster

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