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x varies directly to y find X when y=90 and k=10​

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DIRECT VARIATION

Given: x varies directly to y, find x when y=90 and k=10.

Answer:

[tex] \Large \bold{ \blue{x = 900}}[/tex]

Step-by-step explanation:

Find x using the equation x=ky where k is the constant of variation since x varies directly as y. In this case, since the constant of variation is already given, then we only have to multiply k by y to find the value of x.

[tex]x = ky \\ x = (10)(90) \\ x = 900[/tex]

Therefore, the value of x is equal to 900.

Learn more:

The statements:

  • “y varies directly as x”
  • “y is directly proportional to x”
  • “y is proportional to x”

may be translated mathematically as y=kx where k is the constant of variation.

PUBGxCODgo

[tex]\Huge{\blue{\boxed{\gray{\tt{ANSWER}}}}}[/tex]

x varies directly to y find x when y = 90 and k = 10

  • [tex]\Large\tt{\underline{x = \green{900}}}[/tex]

[tex]\\[/tex]

[tex]\Huge{\red{\boxed{\gray{\tt{SOLUTION}}}}}[/tex]

  • [tex]\large\tt{{x = k × y}}[/tex]

» Now, [tex]\large\tt{{y = 90,\: k = 10}}[/tex]

  • [tex]\large\tt{{x = 10 × 90}}[/tex]

  • [tex]\large\tt{{x = 900}}[/tex]

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