Question

Sudhanshu is solving a system representing a race between two remote control cars. The variable x is defined as time in seconds, and y is the distance in meters from the starting line. How many solutions should Sudhanshu find?

Answer 1

It all depends on the speeds of the cars. If they are going the same speed, the lines could never cross. Or they could could cross once, if one car passes the other.
However, if the speeds are changing, then there could be multiple solutions.

Answer 2

The lines would only cross ONCE. So the answer is ONE.

Explanation:

If using a graphing calculator you will see that the lines are at different slopes and will soon cross at (5,20) on a graph. Which means that the second cars is also faster even though the first car had a head start.