GerikC359637 GerikC359637
  • 03-11-2022
  • Mathematics
contestada

Y varies directly as x If x = 5 when y = 12. Write an equation that relates x and y. Then find x when y = 36

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SolM125701 SolM125701
  • 03-11-2022
[tex]\begin{gathered} y\text{ varies directly as x means that} \\ y=mx \\ \text{where m is a constant of proportionality.} \\ We\text{ know that when x=5, y =12, hence} \\ 12=m(5) \\ m=\frac{12}{5} \\ \text{Therefore, the euqtion searched is} \\ y=\frac{12}{5}x \\ \text{Now, we must find x when y=36. Then} \\ 36=\frac{12}{5}x \\ \frac{36}{12}=\frac{x}{5} \\ 3=\frac{x}{5} \\ 3\cdot5=x \\ x=15 \end{gathered}[/tex]

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