Answer:
[tex]8\frac{ft}{sec}[/tex]
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 [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
Let
x-----> the speed of the elevator
y----> the weight it carries
so
[tex]y*x=k[/tex]
Find the constant k
For x=10 ft/sec, y=400 lb
substitute
[tex]k=10*400=4,000[/tex]
The equation is
[tex]y*x=4,000[/tex]
Find the speed for y=500 lb
substitute in the equation
[tex]500*x=4,000[/tex]
[tex]x=4,000/500=8\frac{ft}{sec}[/tex]
