proportions

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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?

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Page 1: Proportions

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?

Page 2: Proportions

WARM UP

#2 Rewrite the expression without using parentheses.

3/5(2x+3y) – 2/5(3x-2y)

Page 3: Proportions

ProportionsIs an equation stating that two fractions are

equal.Suppose your heart beats 20 times in 15

seconds…The rate is 20 beats/15 secondsWhich means there are 80 beats in 60

secondsThe rate is 80 beats/60 seconds

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Proportions20 beats/15 seconds = 80 beats/60 seconds18/24 = ¾68/170 = 2/59xy/3x = 36y/12

NOT PROPORTIONATE:

y/4 + ¾ = y/2

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Means Extreme

4:18 = 6:27Consider the true proportion of 4/18 = 6/27

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PracticeA 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

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Practice Solve:A/6 = 7/1230/B = 2/52.4/12 = 1.6/C88/121 = 33/D

#2

Page 11: Proportions

Apply The MathIn 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?