HuxtonF308053 HuxtonF308053
  • 25-10-2022
  • Mathematics
contestada

the variables x and y are related proportionaly. when x=4,y=10 find y when x =18when x=18,y=_____

Respuesta :

CarrissaB153141 CarrissaB153141
  • 25-10-2022

For variables to be related proportionally, the relationship must have a constant of proportionality. In our case we will represent the constant of proportionality as k. Therefore,

[tex]\begin{gathered} y=kx \\ \text{where} \\ k=\text{constant of proportionality} \\ 10=4k \\ k=\frac{10}{4} \\ k=\frac{5}{2} \end{gathered}[/tex]

Now lets find y when x = 18

[tex]\begin{gathered} y=kx \\ y=\frac{5}{2}\times18 \\ y=\frac{90}{2} \\ y=45 \end{gathered}[/tex]

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