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Umnica [9.8K]
3 years ago
5

y varies inversely with x. If x is 2.3 when y is 5.1, what is k, the constant of inverse variation? Round your answer to the nea

rest hundredth, if necessary.
Mathematics
2 answers:
snow_tiger [21]3 years ago
6 0
\bf \qquad \qquad \textit{inverse proportional variation}
\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad  y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
x=2.3\\
y=5.1
\end{cases}\implies 5.1=\cfrac{k}{2.3}\implies (5.1)(2.3)=k
almond37 [142]3 years ago
6 0
Y varies inversely with x → y= \frac{k}{x} where k is the constant of variation 

5.1 = k/2.3 ← substitute values into the formula

k = 11.73 ← result of multiplying both sides by 2.3

ANSWER: k = 11.73
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