Answer:
The system of equations to represent the situation are and
Step-by-step explanation:
Given:
An office building has two elevators.
One elevator starts out on the 4th floor, 35 feet above the ground, as it's defending at a rate of 2.2 feet per second.
The other elevator starts out at ground level and is rising at a rate of 1.7 feet per second.
Now, to write a system of equations to represent the situation.
Let the number of seconds for which the elevator is descending be
So, the descended feet is feet for
As given the elevator is at 4th floor, 35 feet above ground.
Thus, from 35 feet the elevator has descended feet for
.
Now, let the final position of elevator be
So, it would be:
Now, as given the other elevator starts out at ground level and is rising at a rate of 1.7 feet per second.
So, the elevator has been raised feet for
As the elevator starts out at ground level.
Thus,
Therefore, the system of equations to represent the situation are and