find the constant of variation or k if m varies inversely as b and m=3 when n=4.​

Sagot :

[tex]\Large\bold{\mathbb{\:\:INVERSE\: VARIATION}}[/tex]

[tex] \large \tt m \: varies \: inversely\: a s \: n[/tex]

[tex]\large\bold\blue{\tt{EQUATION:}}[/tex]

[tex] \large \tt m = \frac{k}{n} [/tex]

[tex]\large\bold\blue{\tt{GIVEN:}}[/tex]

[tex] \large \tt m = 3 \: when \: n = 4[/tex]

[tex]\large\bold\blue{\tt{UNKNOWN:}}[/tex]

[tex] \large \tt contant \: of \: the \: variation \: (k)[/tex]

[tex]\large\bold\blue{\tt{SOLUTION:}}[/tex]

[tex] \large \tt m = \frac{k}{n} \\ \\ \large \tt 3 = \frac{k}{4} \\ \\ \large \tt (4)(3) = \frac{k}{4} (4) \\ \\ \large \bold \red{ \boxed{ \tt {k = 12}}}[/tex]