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find the constant of variation or k if y varies directly as x and y=20when x=5.​

Sagot :

Nzmidn

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]