alangevin03 alangevin03
  • 25-05-2021
  • Mathematics
contestada

If y varies directly as x and y = 24 when
x= 16, what is y when x = 50?

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 30-05-2021

Answer:

[tex]y = 75[/tex]

Step-by-step explanation:

Given

[tex]y\ \alpha\ \ x[/tex]

[tex]y=24; x =16[/tex]

Required

Find y when [tex]x = 50[/tex]

We have:

[tex]y\ \alpha\ \ x[/tex]

Express as equation

[tex]y = kx[/tex]

Solve for k

[tex]k = \frac{y}{x}[/tex]

When [tex]y=24; x =16[/tex]

[tex]k = \frac{24}{16}[/tex]

[tex]k = \frac{3}{2}[/tex]

When [tex]x = 50[/tex], we have:

[tex]y = kx[/tex]

[tex]y = \frac{3}{2} * 50[/tex]

[tex]y = 75[/tex]

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