MATHEMATICS

JAMB 2022 - Question 24

Mathematics 2022 JAMB Past Questions - Question 24: If w varies inversely as uv/u + v and is equal to 8 when u = 2 and v = 6, find a relationship between u, v, w.

If w varies inversely as uv/u + v and is equal to 8 when u = 2 and v = 6, find a relationship between u, v, w.
A:
B:
C:
D:
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Correct Answer

C

Explanation

If w varies inversely as (uv)/(u + v), we can write the relationship as:w = k * (u + v)/(uv)where k is a constant of variation.Given that w = 8 when u = 2 and v = 6, we can substitute these values into the equation:8 = k * (2 + 6)/(2*6)8 = k * 8/128 = k * 2/3To find the relationship between u, v, and w, we can solve for k:k = 8 * 3/2k = 12Now, we can substitute the value of k back into the equation:w = 12 * (u + v)/(uv)Therefore, the relationship between u, v, and w is:w = 12 * (u + v)/(uv)