The system of equations are y = 35 - 2.2x and y = 1.7x
<em><u>Solution:</u></em>
Given that, office building has two elevators.
<em><u>One elevator starts out on the 4th floor, 35 feet above the ground, as it’s descending at a rate of 2.2 feet per second</u></em>
Let "x" be the number of seconds for which the elevator is descending
Therefore, for "x" seconds the descended feet is 2.2x feet
The elevator is at 4 th floor, 35 feet above ground
Therefore, from 35 feet, the elevator has descended 2.2x feet for "x" seconds
Let "y" be the final position of elevator after "x" seconds
Therefore,
y = 35 - 2.2x
<em><u>The other elevator starts out at ground level and is rising at a rate of 1.7 feet per second</u></em>
Here, the elevator is rising at a rate of 1.7 feet per second
Therefore, for "x" seconds, the elevator has raised 1.7x feet
Here the elevator is at ground level, therefore
y = 1.7x
Thus the system of equations are y = 35 - 2.2x and y = 1.7x
