Respuesta :
Answer:
The system of equations to represent the situation are [tex]y = 35 - 2.2x[/tex] and [tex]y=1.7x.[/tex]
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 [tex]x\ seconds.[/tex]
So, the descended feet is [tex]2.2x[/tex] feet for [tex]x\ seconds.[/tex]
As given the elevator is at 4th floor, 35 feet above ground.
Thus, from 35 feet the elevator has descended [tex]2.2x[/tex] feet for [tex]x\ seconds[/tex].
Now, let the final position of elevator be [tex]y.[/tex]
So, it would be:
[tex]y = 35 - 2.2x.[/tex]
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 [tex]1.7x[/tex] feet for [tex]x\ seconds.[/tex]
As the elevator starts out at ground level.
Thus, [tex]y=1.7x.[/tex]
Therefore, the system of equations to represent the situation are [tex]y = 35 - 2.2x[/tex] and [tex]y=1.7x.[/tex]
