ElazarL231463 ElazarL231463
  • 25-10-2022
  • Mathematics
contestada

Fill in the missing number to complete the linear equation that gives the rule for this tablex: 4, 5, 6, 7y: 32, 40, 48, 56y = ?x

Respuesta :

AlaiiaN32747 AlaiiaN32747
  • 25-10-2022

according to the equation and information given we can see that the equation is in the form

[tex]y=kx[/tex]

in which k is the constant of proportionality

use one of the points to find the constant

[tex]\begin{gathered} 32=k(4) \\ k=\frac{32}{8} \\ k=8 \end{gathered}[/tex]

replace withone of the points to see if its true in all the points

[tex]\begin{gathered} 40=8\cdot5 \\ 40=40 \end{gathered}[/tex]

according to this the equation for the table will be

[tex]y=8x[/tex]

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