Dezember 26, 2019

von Karilynn

Wenn $y$ $y$ umgekehrt als das Quadrat von $x$ $x$ und $y = 4$ $y = 4$ variiert, wenn $x = 5$ $x = 5$ , was ist $y$ $y$ , wenn $x$ $x$ $2$ $2$ ist?

Antworten:

$y = 25$ $y=25$

Erläuterung:

$the initial statement is y \propto \frac{1}{x^{2}}$ $"the initial statement is " yprop1/x^2$

$to convert to an equation, multiply by k, the constant$ $"to convert to an equation, multiply by k, the constant"$
$of variation$ $"of variation"$

$\Rightarrow y = k \times \frac{1}{x^{2}} = \frac{k}{x^{2}}$ $rArry=kxx1/x^2=k/x^2$

$to find k use the given condition$ $"to find k use the given condition"$

$y = 4 when x = 5$ $y=4" when " x=5$

$y = \frac{k}{x^{2}} \Rightarrow k = x^{2} y = 5^{2} \times 4 = 100$ $y=k/x^2rArrk=x^2y=5^2xx4=100$

$"the equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=100/(x^2))color(white)(2/2)|)))$

$"when "x=2$

$rArry=100/(2^2)=100/4=25$