Question

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

Answer 1

Bus B travels faster.

Explanation:

The graph of the question in the attached figure

we know that

the linear equation in slope intercept form is equal to

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

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

so

The speed of bus A is

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

substitute

Compare the slope Bus A with the slope Bus B

therefore

Bus B travels faster.