HamiltonW169539 HamiltonW169539
  • 28-10-2022
  • Mathematics
contestada

The value of y varies directly with x. If x=8 then y=80. What is the value of x when y = 120?

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DalanyK457696 DalanyK457696
  • 28-10-2022

We know that y varies directly with x, this means that:

[tex]y=kx[/tex]

If x=8 and y=80, then:

[tex]\begin{gathered} 80=8k \\ k=\frac{80}{8} \\ k=10 \end{gathered}[/tex]

Hence:

[tex]y=10x[/tex]

Now, if y=120, we have:

[tex]\begin{gathered} 120=10x \\ x=\frac{120}{10} \\ x=12 \end{gathered}[/tex]

Therefore, if y=120 than x=12.

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