LabrandonV617159 LabrandonV617159
  • 03-11-2022
  • Mathematics
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Given that y varies directly with x, and y=28 when x=7 What is y when x=52

Given that y varies directly with x and y28 when x7 What is y when x52 class=

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DemarkusI337443 DemarkusI337443
  • 03-11-2022

Answer:

y=208

Explanation:

If y varies directly with x, the equation of variation is:

[tex]y=kx[/tex]

When y=28 and x=7

[tex]\begin{gathered} 28=7k \\ k=\frac{28}{7} \\ k=4 \end{gathered}[/tex]

The equation connecting y and x is:

[tex]y=4x[/tex]

Therefore, when x=52

[tex]\begin{gathered} y=4\times52 \\ y=208 \end{gathered}[/tex]

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