82.0k views
0 votes
If a varies inversely as the cube root of b and a=1 when b=64, find b​

User Edi H
by
3.3k points

1 Answer

4 votes

Answer:

b = 64/a³

Explanation:

Using the given information, we can only find a relation between a and b. We cannot find any specific value for b.

Since a varies inversely as the cube root of b, we have ...

a = k/∛b

Multiplying by ∛b lets us find the value of k:

k = a·∛b = 1·∛64 = 4

Taking the cube of this equation gives ...

64 = a³b

b = 64/a³ . . . . . divide by a³

The value of b is ...

b = 64/a³

User Arabelis
by
3.8k points