Positive quantities satisfy $$y\propto x^2,\qquad z\propto\sqrt{y}.$$ When $x=2$, $y=12$ an

Question

Positive quantities satisfy $$y\propto x^2,\qquad z\propto\sqrt{y}.$$ When $x=2$, $y=12$ and $z=10$. Express $y$ in terms of $x$, then express $z$ in terms of $x$. Hence state the relationship between $z$ and $x$. If $y$ increases by $44\%$, find the percentage increase in $z$.

Accepted Answer

(a) $y=3x^2,\ z=5x$; (b) direct proportion; (c) $20\%$.

Direct and Inverse Proportion

Direct and Inverse Proportion

Solution:

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