$x\propto(y-3)^2$, and $x=20$ when $y=5$. Find the equation connecting $x$ and $y$. G

Question

$x\propto(y-3)^2$, and $x=20$ when $y=5$. Find the equation connecting $x$ and $y$. Given $y>3$, find $y$ when $x=125$. A student claims that doubling $y$ from $5$ to $10$ quadruples $x$. Calculate the actual multiplier and explain the error.

Accepted Answer

(a) $x=5(y-3)^2$; (b) $8$; (c) multiplier $\frac{49}{4}=12.25$.

Direct and Inverse Proportion

Direct and Inverse Proportion

Solution:

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