14.If y varies inversely as x and y=1/3 when x=8, find y when x=4?
a-2/3
b. 32/3
C.-32/3
D.2/3​


Sagot :

Answer:

D

Step-by-step explanation:

[tex]y = \frac{k}{x} [/tex]

[tex] \frac{1}{3} = \frac{k}{8} [/tex]

[tex] \frac{1}{3} (8) = k[/tex]

[tex] \frac{8}{3} = k[/tex]

[tex]y = \frac{ \frac{8}{3} }{4} [/tex]

[tex]y = \frac{8}{3} ( \frac{1}{4} )[/tex]

[tex]y = \frac{8}{12} \: or \: \frac{2}{3} [/tex]