MalorieG87695 MalorieG87695
  • 30-10-2022
  • Mathematics
contestada

The variable y varies directly with x. If y=22 when x=17, what is y when x=31?

Respuesta :

RayburnV311907 RayburnV311907
  • 30-10-2022

Answer:

40.12

Explanation:

y varies directly with x

This is written as:

[tex]y\propto x[/tex]

Introducing the constant of proportion k, we have:

y = kx

If y=22 when x=17

[tex]\begin{gathered} 22=17k \\ k=\frac{22}{17} \end{gathered}[/tex]

Therefore, the equation connecting y and x is:

[tex]y=\frac{22}{17}x[/tex]

When x=31

[tex]\begin{gathered} y=\frac{22}{17}\times31 \\ y=40.12 \end{gathered}[/tex]

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