Question

The graph represents the distance in miles, y that Car A travels in x minutes. The function y =

On
epresents the distance, y, that
Car B travels in x minutes. Both cars are moving at a constant rate of speed. Which BEST compares the rates of the two cars?​

Answer 1

Step-by-step explanation:

Hello! Remember you have to write complete questions in order to get good and exact answers. Here you have provided neither the graph nor the equation, so I could help you providing my own graph and equation. From physics, we know that speed, time and distance are related in the following form:

`distance=speed * time \\ \\ \\ If: \\ \\ d:distance \\ v:speed \\ t:time \\ \\ \\ Then: \\ \\ d=vt`

So
`v` is the slope of a line that passes through the origin where
`d` matches the y-axis and
`t` matches the x-axis. So we can write:

`y=mx \\ \\ \\ y\rightarrow d \\ \\ m\rightarrow v \\ \\ x\rightarrow t`

From the graph, we can know that:

`y=40x \\ \\ \\ \text{Because the slope is:} \\ \\ m=(40-0)/(1-0)=40`

And the equation that I provide is:

`y=60x`

If both speeds are given in mi/h, then by comparing them, we can say that the speed (rate) of the first car (graph) is 20mi/h less than the speed of the second car (equation)