rachealquiroz rachealquiroz
  • 25-11-2020
  • Mathematics
contestada

suppose that x and y vary inversely and x=1 when y=6. write a function that models the inverse variation. graph the function and find y when x=10

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Аноним Аноним
  • 25-11-2020

Answer:

Required Answer:-

Table:-

[tex]\boxed{\begin{array}{c|c|c|}x & 1 & 10 \\ y & 6 & ?\end{array}}[/tex]

  • Now come to formula

[tex]\sf x \propto y [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x_1 y_2=x_2 y_1[/tex]

  • Substitute the values

[tex]{:}\longrightarrow[/tex][tex]\sf 1×y_2=10\times6 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y_2={\dfrac {10\times6}{1}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y_2=60 [/tex]

[tex]\therefore[/tex][tex]{\underline{\boxed{\bf y_2=60}}}[/tex]

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