ClaysonU780359 ClaysonU780359
  • 30-10-2022
  • Mathematics
contestada

Suppose y varies directly as x. If y=-4 when x = 32, find x when y=-0.375.

Respuesta :

TejasF706516 TejasF706516
  • 30-10-2022

If y varies directly with x, we have a relation that is:

[tex]y=kx[/tex]

where k is a constant.

If we know a point, we can find the constant as:

[tex]k=\frac{y}{x}=\frac{-4}{32}=-0.125[/tex]

Now we have to calculate x for y=-0.375:

[tex]\begin{gathered} y=kx \\ x=\frac{y}{k}=\frac{-0.375}{-0.125}=3 \end{gathered}[/tex]

The value for x is 3.

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