Question

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. Write a system of equations to represent the situation

Answer 1

Answer:

The system of equations to represent the situation are $y = 35 - 2.2x$ and $y=1.7x.$

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 $x\ seconds.$

So, the descended feet is $2.2x$ feet for $x\ seconds.$

As given the elevator is at 4th floor, 35 feet above ground.

Thus, from 35 feet the elevator has descended $2.2x$ feet for $x\ seconds$.

Now, let the final position of elevator be $y.$

So, it would be:

$y = 35 - 2.2x.$

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 $1.7x$ feet for $x\ seconds.$  

As the elevator starts out at ground level.

Thus, $y=1.7x.$

Therefore, the system of equations to represent the situation are $y = 35 - 2.2x$ and $y=1.7x.$