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JAMB Mathematics 2024 Paper

Question : 40

Total: 50

^{\;\frac{1}{3}}

Solution:

Concept:

Inverse variation means

B

is equal to a constant

K

divided by

C^{\frac{1}{3}}

, so

B = \frac{K}{C^{1/3}}

Explanation:

Given

B = 2

and

C = 27

, substitute these values into the equation.

2 = \frac{K}{27^{\frac{1}{3}}}

Evaluate

27^{\frac{1}{3}}

, which is

3

, since

3^3 = 27

So the equation becomes

2 = \frac{K}{3}

Multiply both sides by

3

to solve for

K

K = 2 \times 3 = 6

Answer:

The value of the constant of proportionality is

K = 6

, which corresponds to option B.

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