Question

The graph represents the distance in miles, y, that Car A travels in x minutes. The function y = 5 6 x represents 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

Explanation:

Hello! Remember that you need to write complete questions in order to get good and exact answers. Here you haven't provided any graph so I could help you giving you my own graph. The relationship between speed, time and distance is as follows:

$d=vt \\ \\ \\ Where: \\ \\ d:Distance \\ \\ v:speed \\ \\ t:time$

So $v$ represents slope of a line that passes through the origin. In this case:

• d matches the y-axis
• t matches the x-axis.

So:

$y=mx \rightarrow d=vt \\ \\ \\ Where: \\ \\ y\rightarrow d \\ \\ mv\rightarrow v \\ \\ x\rightarrow t$

The graph below (Car A) comes from the following equation:

$y=\frac{5}{3}x$

And the equation for car B is:

$y=\frac{5}{6}x$

By comparing them, car A moves faster than car B because:

$\frac{5}{3}>\frac{5}{6}$

Answer 2

Answer:

The rate of Car B is  1 /6  of a mile per minute greater than the rate of Car A.

Step-by-step explanation: