Numerical Patterns

Which table could represent the equation y = 0.1x?

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Customers at a gift shop receive free stickers for every T-shirt they buy. The graph shows the relationship between x, the number of T-shirts customers buy, and y, the number of stickers customers receive. Which table also represents this relationship?

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Students earned extra points on a science test for correctly answering a bonus question. The relationship between the students’ original test score and their final test score, including the extra points, can be represented by the equation y = x + 25. Which table could represent this relationship?

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The equation y = 1.5x can be used to determine y, the number of cups of water needed to cook x cups of rice. Which table shows the relationship between x and y?

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A pet store owner will order dog beds for his shop. The relationship between x, the number of boxes he will order, and y, the number of dog beds he will receive, can be represented by the equation y = 12x. Which table contains only values that represent the equation?

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Which table of values does NOT represent y = x + 4.5?

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A worker is building toys at a factory. The relationship between the number of hours the employee works, x, and the number of toys the employee builds, y, is represented by the equation y = 9x. Which graph represents this relationship?

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The table represents a relationship between x and y.

The relationship between the x-values and y-values creates a pattern that is----

• additive, because each x-increases by 5
  

• additive, because each y-value is determined by adding 17 to the corresponding x-value
  

• multiplicative, because each y-value is determined by multiplying the corresponding x-value by 17
  

• 1. multiplicative, because each x-value is a multiple of 5

  
  
  

The points on the graph represent a numerical pattern.

Which statement about the pattern represented on the graph is true?

• It is a multiplicative pattern because each y-coordinate has a higher value than the corresponding x-coordinate.

• It is a multiplicative pattern because each x-coordinate is multiplied by 5 to create the corresponding y-coordinate.

•  It is an additive pattern because each y-coordinate has a higher value than the corresponding x-coordinate.

•  It is an additive pattern because each x-coordinate is increased by 4 to create the corresponding y-coordinate.