In order to keep a malfunctioning satellite from falling into the earth, space agency officials
decide to use a powerful rocket. At the time the rocket is attached, the satellite will be traveling
with an initial velocity, vo, and for every second that the rocket fires, it will add approximately
180 meters per second -) to this velocity. In order to ensure safety on earth, the velocity
must be increased to at least 3,800 – . Also, the rocket can fire for no more than 4 seconds.
For the initial velocity of the satellite, vo, which of the following systems of inequalities best
models this situation, where t is time, in seconds, after the rocket is first fired?