Question

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

Answer 1

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:

$distance=speed \times time \\ \\ \\ If: \\ \\ d:distance \\ v:speed \\ t:time \\ \\ \\ Then: \\ \\ d=vt$

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:

$y=40x \\ \\ \\ \text{Because the slope is:} \\ \\ m=\frac{40-0}{1-0}=40$

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)