The speed of an elevator varies inversely with the weight it carries. if the elevator rises at 10 feet per second when it carries 400lbs, how fast will it rise when it carries 500lbs?

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form or

Let

x-----> the speed of the elevator

y----> the weight it carries

so

Find the constant k

For x=10 ft/sec, y=400 lb

substitute

The equation is

Find the speed for y=500 lb

substitute in the equation

step-by-step explanation:

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