R varies inversely as t when r=14,t=3 what is t when r=6?
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R varies inversely as t when r=14,t=3 what is t when r=6?
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Problem:
R varies inversely as t when r=14, t=3 what is t when r=6?
Solution:
[tex]\[R = \frac{k}{t}\][/tex] ; where k = constant of variation
[tex]\[\begin{array}{l}14 = \frac{k}{3}\\\\k = 14(3)\\\\k = 42\end{array}\][/tex]
[tex]\[\begin{array}{l}R = \frac{k}{t}\\\\tR = k\\\\t = \frac{k}{R}\\\\t = \frac{{42}}{6}\\\\t = 7\end{array}\][/tex]
Answer:
t = 7
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