Rudy can make 7 holiday cards with the cardstock he already has on hand. He is also buying more paper, and he can make 10 additional cards with each package of cardstock he buys.Write an equation that shows how the total number of cards Rudy can make, y, depends on the number of packages of cardstock he buys, x.y=

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The scenario could be modeled as a linear equation to produce the mathematical model written as : y = 10x + 7

Number of cards from previous card = 7

Number of cards per cardstock purchased = 10

Let :

  • Number of cardstocks purchased = x
  • Total Number cards made = y

The total number of cards made, y can be expressed thus :

(Number of cards per cardstock purchased × number of cardstocks purchased) + number of previous cards

This means :

y = 10x + 7

Therefore, the required equation is y = 10x + 7

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