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Answered

Y varies directly as the square of x. Find the constant of variation when x= 3 and y= 9.

Sagot :

Icexxgo

Answer:

1

Step-by-step explanation:

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PROBLEM :

  • Y varies directly as the square of x. Find the constant of variation when x= 3 and y= 9.

GIVEN :

  • x=3
  • y=9

TO FIND :

  • Finding the constant of variation

SOLUTION :

[tex]\rm Let \: the \: constant \: be \: k \\ \rm \: then \: y = kx {}^{2} \\ \rm \: when \: x = 3 \: and \: y = 9 \\ \rm \: 9 = k \times 3 {}^{2} \\ \rm9k = 9 \\ \rm \: k = 9 \div 9 \\ \rm \: k = 1[/tex]

ANSWER :

  • K=1

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