If A is inversely proportional to the cube of B, and A=23.5 when B=-3, write A as a power function of B.

Question

I am getting confused with the way it is written can someone help me please

Answer 1

A is inversely proportional to the cube of B:

 

A = k/B³

 

To find the value of k, plug in the given values for A and B, A=23.5 when B=-3:

 

23.5 = k/(-3)³

23.5 = k/(-27)

-634.5 = k

 

The final equation is:

 

A = -634.5/B³