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Step-by-step explanation:
[tex]7. \: \: \: \: \: \: \: y = \frac{k}{x} [/tex]
[tex]12 = \frac{k}{5} [/tex]
[tex]12(5) = k[/tex]
[tex]k = 60[/tex]
[tex]8. \: \: \: \: \: y = \frac{k}{x} [/tex]
[tex]18 = \frac{k}{3} [/tex]
[tex]18(3) = k[/tex]
[tex]k = 54[/tex]
[tex]9. \: \: \: \: \: y = \frac{k}{x} [/tex]
[tex]10 = \frac{k}{ \frac{2}{5} } [/tex]
[tex]10( \frac{2}{5}) = k[/tex]
[tex] \frac{20}{5} = k[/tex]
[tex]k = 4[/tex]
[tex]10. \: \: \: \: \: y = \frac{k}{x} [/tex]
[tex]12 = \frac{k}{ \frac{2}{3} } [/tex]
[tex]12( \frac{2}{3} ) = k[/tex]
[tex] \frac{24}{3} = k[/tex]
[tex]k = 8[/tex]