Question

bus A travels accordingly to the function y equals 125/2x where y is distance traveled in miles and X is time in hours.bus speed travels accordingly to the graph below where the distance Y is a function of time x.which bus travels faster

Answer 1

For Bus A

The equation is,

`y=(125)/(2)x`

Equating the above equation wit the general line equation,

y = mx + b, where m is the slope and b is the y intercept., we have,

m = 125/2 = 62.5

The slope of the linear equation represent the speed of the bus. Thus, the speed of bus A is 62.5.

For Bus B,

Let us take two points on the line, (0,0) and (2,50)

The slope can be calculated as,

`m=(y2-y1)/(x2-x1)=(50)/(2)=25`

Thus, the speed of the bus is 25.

Therefore Bus A travels faster.