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If you solve using the equation for the constant of proportionality, y/x = k, with k=4/5 and y = 2/3, what is the value of x?
A. X = -2/15
B. X = 8/15
C. X = 5/6
D. X = 1 1/5

Respuesta :

[tex]\bf \cfrac{y}{x}=k\qquad \begin{cases} k=\frac{4}{5}\\ y=\frac{2}{3} \end{cases}\implies \cfrac{~~\frac{2}{3}~~}{x}=\cfrac{4}{5}\implies \cfrac{2}{3}(5)=4x\implies \cfrac{10}{3}=4x \\\\\\ \cfrac{10}{12}=x\implies \cfrac{5}{6}=x[/tex]

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