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Proportions

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Transcript

  • 1. WARM UP
    #1
    Suppose a car rental agency charges $35 per day or any part of a day to rent an economy car, and there is a 7% sales tax. How much does it cost to rent a car for 100 hours?
  • 2. WARM UP
    #2
    Rewrite the expression without using parentheses.
    3/5(2x+3y) – 2/5(3x-2y)
  • 3. Proportions
    Is an equation stating that two fractions are equal.
    Suppose your heart beats 20 times in 15 seconds…
    The rate is 20 beats/15 seconds
    Which means there are 80 beats in 60 seconds
    The rate is 80 beats/60 seconds
  • 4. Proportions
    20 beats/15 seconds = 80 beats/60 seconds
    18/24 = ¾
    68/170 = 2/5
    9xy/3x = 36y/12
    NOT PROPORTIONATE:
    y/4 + ¾ = y/2
  • 5.
  • 6. Means Extreme
    4:18 = 6:27
    Consider the true proportion of
    4/18 = 6/27
  • 7.
  • 8. Practice
    A volleyball team plays 30 matches in a season. The team has won 4 of their first 5 matches. At this rate, how many matches will they win in the season?
    #1
  • 9.
  • 10. Practice
    Solve:
    A/6 = 7/12
    30/B = 2/5
    2.4/12 = 1.6/C
    88/121 = 33/D
    #2
  • 11. Apply The Math
    In his first 100 games, basketball player Kevin Garnett of the Boston Celtics scored 2,181 points:
    A: At this rate, how many games would it take for him to surpass Kareem Abdul-Jabbar’s NBA record of 38,387 points?
    B: If there are 82 games in a regular season, how many full seasons would it take?