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Proportional Relationships

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    Identifying proportional relationships and solving problem using proportional reasoning
  •   Study   Slideshow
  • What is the equation of a proportional relationship?
    y = kx
  •  10
  • What formula can we use to find the constant of proportionality (K)?
    k = y/x
  •  15
  • How many tablespoons of honey are needed for 20 cups of flour?
    16
  •  15
  • What is the scale factor from picture A to picture B?
    2
  •  20
  • What is the scale factor from picture B to picture A?
    1/4 or 0.25
  •  20
  • What is the length of x if the scale factor is 4?
    14 inches
  •  15
  • What is the length of x if the scale factor is 1/2?
    3 1/4 or 3.25
  •  20
  • Does the table represent a proportional relationship? If yes, what is the constant of proportionality?
    1/3
  •  15
  • Does the table represent a proportional relationship? If yes, what is the constant of proportionality?
    No.
  •  15
  • Is this the graph of a proportional relationship?
    No.
  •  10
  • Is this the graph of a proportional relationship?
    Yes.
  •  10
  • One pound of bananas cost $0.59. How much will 25 pounds cost?
    $14.75
  •  15
  • A pair of pants cost $60.80 and was on sale for 1/4 off the original price. What is the sales price?
    $45.60
  •  20
  • A store bought a black jacket and marked it up by 2/3 of the original price. Then, it sold it for $250. How much was the jacket's original cost before the mark up?
    $150
  •  25
  • Area of rectangle A is 8 square inches and the scale factor is 2. What is the area of rectangle B?
    32 square inches.
  •  25
  • A pair of earrings cost $75. It is on sale for 1/3 off the original price. What is the discount?
    $25
  •  20