JAMB - Mathematics (2024 - No. 42)

If x is inversely proportional to y and x = 9 when y = 4, find the law containing x and y

x = \(\frac{16}{y}\)

x = \(\frac{36}{y}\)

x = \(\frac{y}{36}\)

x = \(\frac{13}{y}\)

x = \(\frac{K}{y}\)

9 = \(\frac{K}{4}\)

K = 9 x 4 = 36

Therefore, the law connecting x and y is: x = \(\frac{36}{y}\)