Question

Bus A travels according to the function y = 125/5x 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

Answer:

Bus B travel faster

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

$y=\frac{125}{5}x$

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

so

The speed of bus A is

$\frac{125}{5}=25\ miles/hour$

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

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{200-0}{3-0}$

$m=66.67\ \frac{miles}{hour}$

Compare the slope Bus A with the slope Bus B

$66.67\ \frac{miles}{hour} > 25\ \frac{miles}{hour}$

therefore

Bus B travel faster