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solving for constant of proportionality

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    analyzing proportional relationships for missing values
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  • What is the constant of proportionality in this table? What is the equation?
    COP = 12 y = 12x
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  • Is the equation y=3x a proportional relationship? If it is-what is the constant of proportionality?
    Yes- the constant is 3
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  • The point on the graph is (6, 47.94). What is the constant of proportionality?
    7.99
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  • 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)
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  • 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
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  • Is this relationship proportional? How do you know?
    No! It's not a straight line
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  • Is this relationship proportional? How do you know?
    Yes-it's a straight line through the origin
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  • Is this relationship proportional? How do you know?
    No-It does not cross the origin
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  • Is the equation y=0.3x a proportional relationship? If it is-what is the constant of proportionality?
    Yes- 0.3
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  • Is the equation y = 45x a proportional relationship? If it is-what is the constant of proportionality?
    Yes. The constant is 45
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  • What math vocabulary have you learned this unit which you should use in your explanations? You need at least 3
    Constant of proportionality, unit rate, equivalent ratios, origin, equation, complex fraction
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  • 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
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  • The point on the graph is (4, 28). What is the constant of proportionality?
    7
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  • In 8 hours a car traveled 512 miles. What was the speed per hour?
    64 mph
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  • Michelle types 450 words in 9 minutes. How many words can she type in an hour?
    3,000 words
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  • Jon hiked 3/4 mile in 1/8 of an hour. How fast did he hike in miles per hour?
    6 mph
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