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Quantities x and y are in a proportional relationship.
Complete the table by typing the correct answer into each box.
(Picture Below)

Quantities x and y are in a proportional relationship Complete the table by typing the correct answer into each box Picture Below class=

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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

First blank :

  • [tex]12[/tex]

Second blank :

  • [tex]2[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

let's represent the proportional relationship as :

  • [tex]y \propto x[/tex]

now, to remove the proportionality sign, let's take a proportionality constant " k "

  • [tex]y = kx[/tex]

now, let's find the value of proportionality constant :

  • [tex]k = \dfrac{y}{x} [/tex]

now, let's plug any corresponding values of y and x from the table to find value of k

  • [tex]k = \dfrac{16}{4} [/tex]

  • [tex]k = 4[/tex]

the relationship can be represented as :

  • [tex]y = 4x[/tex]

so, it's time to complete the table now.

here we go :

For x = 3, value of y is :

  • [tex]y = 4x[/tex]

  • [tex]y = 4 \times 3[/tex]

  • [tex]y = 12[/tex]

Next, for value of y = 8, x is equal to :

  • [tex]y = 4x[/tex]

  • [tex]8 = 4x[/tex]

  • [tex]x = 8 \div 4[/tex]

  • [tex]x = 2[/tex]

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