Warm-Up A farmer has determined that he has enough hay for 4 cows for 3 weeks. If the farmer suddenly obtains 2 more cows, how long can he expect the.

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Presentation transcript:

Warm-Up A farmer has determined that he has enough hay for 4 cows for 3 weeks. If the farmer suddenly obtains 2 more cows, how long can he expect the hay to last? Hint: “How much” does one cow eat in 3 weeks?

Agenda Exploration 6.5 One more slide on Proportions Percents Percent Problems Homework

Let’s look again at proportions Explain how you know which of the following rates are (equivalent) proportional? 6/10 mph 1/0.6 mph 2.1/3.5 mph 31.5/52.5 mph 240/400 mph 18.42/30.7 mph 60/100 mph

Percent Percent means per hundred. 50% means 50 per hundred, or 50/100. 95% means 95 per hundred, or 95/100. 2% means 2 per hundred, or 2/100. 315% means 315 per hundred, or 315/100.

Easy Percents--just know these 1 = 100% 1/3 = 33.3%, 2/3 = 66.6% 1/4 = 25%, 1/2 = 50%, 3/4 = 75% 1/5 = 20%, 2/5 = 40%, 3/5 = 60%, 4/5 = 80% 1/8 = 12.5%, 3/8 = 37.5%, 5/8 = 62.5%, 7/8 = 87.5% 1/10 = 10%, 2/10 = 20%, etc..

Fractions, Decimals, Percents To write fractions as decimals or percents: a/b means a ÷ b. Divide, and write the answer to get the decimal. Then, multiply by 100 to get the percent. Example: 48/60 = 48 ÷ 60 = 0.8 = 80% You try: 4/9, 4 3/20

Fractions, Decimals, Percents To write decimals as fractions or percents: Read the decimal without the word “point.” Simplify if necessary. To write a percent, multiply by 100. Example: 0.09 = 9/100 = 9% You try: 7.007, 0.59

Fractions, Decimals, Percents To write a percent as a decimal, divide by 100. To write a decimal as a fraction, read the decimal without the word “point.” Simplify if necessary. Example: 591% = 5.91 = 5 91/100 You try: 3%, 62%, 0.4%

What happens if… What if you have 3 2/5% Rewrite 2/5 as 0.4. So 3 2/5% = 3.4%

Exploration 6.5 Sales #1 - 4 Decrease and Increase #5 - 6 General formula?