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Stanley's weekly allowance is $5. he can also earn $2 each time he walks the family dog. write an equation that shows how the amount of money stanley gets in a week, y, depends on the number of times he walks the dog, x. do not include dollar signs in the equation. y=

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Final answer:

The equation representing the amount of money Stanley gets weekly, based on the times he walks the dog, is y = 5 + 2x. It includes a fixed allowance and a variable earning for each dog walk.

Step-by-step explanation:

The question asks us to write an equation that represents how much money Stanley receives each week (y) based on the number of times he walks the dog (x). Stanley has a fixed weekly allowance of $5, and for each time he walks the dog, he earns an additional $2.

  1. Identify the fixed allowance which does not depend on the number of times Stanley walks the dog. This fixed amount is $5 per week.
  2. Identify the variable component which is the amount Stanley earns for walking the dog. He earns $2 each time he walks the dog.
  3. Combine the fixed allowance with the variable earnings based on the number of walks. For each walk (x), Stanley earns $2, and this is added to his fixed $5 allowance. Therefore, the equation that represents how much money Stanley receives each week is: y = 5 + 2x.
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