The table shows the values of x and y, where x is proportional to y. What are the values of M and N ?
M = 4, N = 9
M = 9, N = 3
M = 9, N = 4
M = 12, N = 0
Given, x is proportional to y.
⇒6M=1218⇒M=6×1812⇒M=10812⇒M=9.1218=N6⇒N=12×618⇒N=7218⇒N=4.\Rightarrow \dfrac{6}{M} = \dfrac{12}{18} \\[1em] \Rightarrow M = \dfrac{6 \times 18}{12} \\[1em] \Rightarrow M = \dfrac{108}{12} \\[1em] \Rightarrow M = 9. \\[1.5em] \dfrac{12}{18} = \dfrac{N}{6} \\[1em] \Rightarrow N = \dfrac{12 \times 6}{18} \\[1em] \Rightarrow N = \dfrac{72}{18} \\[1em] \Rightarrow N = 4.⇒M6=1812⇒M=126×18⇒M=12108⇒M=9.1812=6N⇒N=1812×6⇒N=1872⇒N=4.
Hence, Option 3 is the correct option.
