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z varies directly with y^(2). When z=4,y=4 Find a formula connecting z and y. z=theta Submit Answer

z z varies directly with y2 y^{2} .\newlineWhen z=4,y=4 z=4, y=4 \newlineFind a formula connecting z z and y y .\newlinez=θ z=\theta \newlineSubmit Answer

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Q. z z varies directly with y2 y^{2} .\newlineWhen z=4,y=4 z=4, y=4 \newlineFind a formula connecting z z and y y .\newlinez=θ z=\theta \newlineSubmit Answer
  1. Understand the relationship: Step 11: Understand the relationship.\newlineSince zz varies directly with y2y^{2}, the relationship can be expressed as z=k×y2z = k \times y^{2}, where kk is the constant of proportionality.
  2. Use given values: Step 22: Use the given values to find kk.\newlineWhen z=4z = 4 and y=4y = 4, plug these values into the equation:\newline4=k×(42)4 = k \times (4^2)\newline4=k×164 = k \times 16\newlinek=416k = \frac{4}{16}\newlinek=0.25k = 0.25

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