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solving for constant of proportionality

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  • A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint. How many cups of red paint should be added to 1 cup of white paint?
    3/7 cups of red paint
  • In a written response, at least how many sentences total do you need to make a paragraph?
    3! Claim sentence and 2 sentences for Reasoning!
  • The point on the graph is (4, 28). What is the constant of proportionality?
    7
  • Is the equation y=3x a proportional relationship? If it is-what is the constant of proportionality?
    Yes- the constant is 3
  • Is this table proportional? If yes, what is the constant of proportionality?
    No there is no constant. The ratios of y/x are not equivalent
  • What is the value of the "?" in this equation 5=? times 2
    ?=2.5
  • Is this relationship proportional? How do you know?
    No! It's not a straight line
  • In a written response, how many math strategies should you show for your evidence?
    2! Solve and check your work another way
  • Is this relationship proportional? How do you know?
    No-It does not cross the origin
  • Is this relationship proportional? How do you know?
    Yes-it's a straight line through the origin
  • What is the value of the "?" in this equation 5 times ? = 24
    ?=4.8
  • What is the constant of proportionality in this table?
    times 12
  • Convert 4/5 to a decimal
    4 divided by 5= 0.8
  • What is 3.75 as a fraction?
    15/4
  • What mathematical operation is taking place with a fraction?
    DIVISION- divide the numerator by the denominator (how many times does the bottom number go into the top number)
  • What is an equivalent ratio to 4:6?
    2:3. 8:12, 12:18 etc....any ratio that equals 0.6666667 when converted to a decimal
  • Is the equation y=0.3f a proportional relationship? If it is-what is the constant of proportionality?
    Yes- 0.3
  • What math vocabulary have you learned this unit which you should use in your explanations?
    Constant of proportionality, unit rate, equivalent ratios, origin, equation
  • Is the equation y=50x-3 a proportional relationship? If it is-what is the constant of proportionality?
    No. There's no constant
  • Is the equation d=45t a proportional relationship? If it is-what is the constant of proportionality?
    Yes. The constant is 45
  • The point on the graph is (6, 47.94). What is the constant of proportionality?
    7.99
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