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# Proportions

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### Proportions

1. 1. WARM UP<br />#1<br />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?<br />
2. 2. WARM UP<br />#2<br />Rewrite the expression without using parentheses. <br />3/5(2x+3y) – 2/5(3x-2y)<br />
3. 3. Proportions<br />Is an equation stating that two fractions are equal.<br />Suppose your heart beats 20 times in 15 seconds…<br />The rate is 20 beats/15 seconds<br />Which means there are 80 beats in 60 seconds<br />The rate is 80 beats/60 seconds<br />
4. 4. Proportions<br />20 beats/15 seconds = 80 beats/60 seconds<br />18/24 = ¾<br />68/170 = 2/5<br />9xy/3x = 36y/12<br />NOT PROPORTIONATE:<br />y/4 + ¾ = y/2<br />
5. 5.
6. 6. Means Extreme<br />4:18 = 6:27<br />Consider the true proportion of <br />4/18 = 6/27<br />
7. 7.
8. 8. Practice<br />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?<br />#1<br />
9. 9.
10. 10. Practice <br />Solve:<br />A/6 = 7/12<br />30/B = 2/5<br />2.4/12 = 1.6/C<br />88/121 = 33/D<br />#2<br />
11. 11. Apply The Math<br />In his first 100 games, basketball player Kevin Garnett of the Boston Celtics scored 2,181 points:<br />A: At this rate, how many games would it take for him to surpass Kareem Abdul-Jabbar’s NBA record of 38,387 points?<br />B: If there are 82 games in a regular season, how many full seasons would it take? <br />