Sagot :
PROBLEM:
find the constant of variation or k if y varies directly as x and y=20when x=5.
GIVEN:
- k = ?
- y = 20
- x = 5
FORMULA:
k = x/y
SOLUTION:
[tex]k = \frac{x}{y}[/tex]
[tex]k = \frac{20}{5}[/tex]
[tex]k = \boxed{4}[/tex]
ANSWER:
4
[tex]\Large\bold{\mathbb{\:\:DIRECT\: VARIATION}}[/tex]
[tex] \large \tt\:\:\:\: y \: varies \: directly\: a s \: x[/tex]
[tex]\large\bold\blue{\tt{EQUATION:}}[/tex] [tex] \large \tt y = kx [/tex]
[tex]\large\bold\blue{\tt{GIVEN:}}[/tex] [tex] \large \tt y=20 \: when \: x=5[/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 y = kx \\ \\ \large \tt 20 = k(5) \\ \\ \large \tt \frac{20}{5} = \frac{5k}{5} \\ \\ \huge \bold \red { \boxed{ \tt{k = 4}}}[/tex]