Question

If j is inversely related to the cube of k, and j = 3 when k is 6, which of the following is another

possible value for j and k?
(A) j = 18, k = 2
(B) j = 6, k = 3
(C) j = 81, k = 2
(D) j = 2, k = 81
(E) j = 3, k = 2

Answer 1

The relationship between j and k can be expressed as j = k^(-3) * C, where C is a constant. To find the value of C, we can use the initial condition j = 3 when k = 6:

3 = 6^(-3) * C

C = 3 * 6^3 = 648

So the relationship is j = 648 / k^3. To find another possible value for j and k, we can simply plug in a different value for k:

For option A:

j = 648 / 2^3 = 81

For option B:

j = 648 / 3^3 = 24

For option C:

j = 648 / 2^3 = 81

For option D:

j = 648 / 81^3 = 0.0008

For option E:

j = 648 / 2^3 = 81

Therefore, the only option that is another possible value for j and k is (A) j = 18, k = 2.