Two toy cars are put on a downhill ramp. One car, Car A, travels at a speed represented as y = 6x, where y is the number of meters traveled and x is the number of seconds. The d…

Question

asked Sep 26, 2021 142k views

1 Answer

JustinP · Answer 1 · 2021-09-30T13:17:04+0000

Hello! don't forget to write complete questions in order to get good and exact answers. You haven't provided any table, so I'll assume this one:

$\begin{array}{cc}x(seconds) & y(meters)\\0 & 0\\1 & 10\\2 & 20\end{array}$

The speed of this can is the slope of the line given by the table, therefore:

$s_(B):\text{speed of car B} \\m:slope\\ \\ \\s_(B)=m=(10-0)/(1-0)=10m/s$

From the table, we know that the line passes through the origin, so the equation is:

y=10x

For car A, we know that the speed is also the slope of that line, so:

$S_(A):\text{Speed of car A} \\ \\ s_(A)=m=6m/s$

By comparing these two values, we can conclude that:

Car b is faster by 4 meters per second