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Sloths may seem lazy, but their extremely slow movement helps make them almost invisible to predators. Sloths sleep an average of 16.5 hours each day.

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Presentation on theme: "Sloths may seem lazy, but their extremely slow movement helps make them almost invisible to predators. Sloths sleep an average of 16.5 hours each day."— Presentation transcript:

1 Sloths may seem lazy, but their extremely slow movement helps make them almost invisible to predators. Sloths sleep an average of 16.5 hours each day. About what percent of the day do they sleep? What’s the actual percent? Aim: What methods can we use to solve percent problems? Do Now:

2 The length of the Appalachian Trail is 2174 miles. Twenty- five percent of the length is in the state of Virginia. How many miles of the trail are in Virginia? In 2000, there were 240 million vehicles on the road in the United States. In seven years, the total was increased by 3%. (a)What was the increase in the number of vehicles in the seven years? (b) What was the total number of vehicles in 2007? There are currently 130,000 nurses in the state of Florida. Of those nurses, 34,000 are new. What is the percentage of new nurses? Round to the nearest whole percent. 1. 2. 3.3.

3 The length of the Appalachian Trail is 2174 miles. Twenty- five percent of the length is in the state of Virginia. How many miles of the trail are in Virginia? x 2174 =25%. x2174. 0.25= x543.5= miles

4 In 2000, there were 240 million vehicles on the road in the United States. In seven years, the total was increased by 3%. (a)What was the increase in the number of vehicles in the seven years? (b) What was the total number of vehicles in 2007? 3% 240 = x. 0.03 240. x 7.2 = = x million vehicles 7.2 240 + 247.2 (a) (b) million vehicles

5 There are currently 130,000 nurses in the state of Florida. Of those nurses, 34,000 are new. What is the percentage of new nurses? Round to the nearest whole percent. 34,000 130,000 = x. 34,000130,000 x= x 130,000 =0.261 x =0.261. 100% x =26.1% x =26%

6 Solve the following percent problems 1)27 is what percent of 30? 2) 45 is 20% of what number? 3) What percent of 80 is 10?

7 1. The warehouse of the Alpha Distribution Company measures 135,000 sq. ft. If 65% of the floor space is covered, how many square feet are NOT covered? 2. Teddy saved $63.00 when he bought a CD player on sale at his local electronics store. If the sale price is 35% off the regular price, what was the regular price of the CD player? 3. A computer that normally costs $562.00 is on sale for 30% off. If the sales tax is 7%, what will be the total cost of the computer? Exit Question – Choose one of the following problems & solve in your notebook.

8 Write your own percent problem. Then, solve your problem on another page in your notebook. Switch notebooks with your partner & solve their problem. Stump your partner! Homework!!!

9 What is 85% of 40? Use the proportion. is of % 100 = x 40 85 100 = x = 34 34 is 85% of 40

10 25% of what number is 400? Use the proportion. is of % 100 = 400 x 25 100 = x = 1600 25% of 1600 is 400

11 Percent comes from the Latin per centum, or “per hundred” A number such as 32% can be written as “32 per hundred” or the fraction 32/100. This fraction is equivalent to the decimal 0.32. Percent – is a ratio of a number to 100.

12 Percent Equation What percent of 24 is 16.5. n · 24 = 16.5 n = 0.6875 n = 68.75% Percent Proportion Part Whole Percent * Whole = Part (Or translate using keywords.)

13 The Percent Proportion is of % 100 = The percent % is always over 100. ‘is’ is the number with the word ‘is’ ‘of’ is the number with the word ‘of’ 100 is always on the bottom. (part) (whole)

14 18 is 4.5% of what number? x 18. 4.5%= 0.045 0.045x18= 0.045x18 = x = 400 0.045 Translate into an equation and solve.

15 What percent of 90 is 27? 27 x =90. 2790x= 2790=x x=0.3 90 x= 0.3 x=30%. 100% Translate into an equation and solve.


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