Question

n is directly proportional to m. Complete the following table.

m	3	5	6.5	...	1.25
n	12	20	...	28	...

Answer 1

$$\begin{gathered} Here, \\ n\alpha m \\ n=km \\ 12=3k \\ \Rightarrow k=4 \\ \mathrm{Therefore},n=4m\mathrm{is}\mathrm{the}\mathrm{equation}\mathrm{of}\mathrm{variation}. \\ n=4m \\ \Rightarrow n=4\times 6.5(\because m=6.5) \\ \Rightarrow n=26 \\ Now, \\ \mathrm{When}n=28, \\ n=4m \\ 28=4m \\ \Rightarrow m=\frac{28}{4}=7 \\ And, \\ \mathrm{When}m=1.25, \\ n=4m \\ \Rightarrow n=4\times 1.25=5 \end{gathered}$$


Now, the table would be:

m	3	5	6.5	7	1.25
n	12	20	26	28	5