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WARM UP

WARM UP. 5 Minutes Remain. Scuba Diving: A scuba diver starts at sea level. The pressure on the diver at a depth of d feet is given by the formula below, where P represents the total pressure in pounds per square foot. P = 64d + 2112 Rewrite the formula solved for d

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WARM UP

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  1. WARM UP 5 Minutes Remain Scuba Diving: A scuba diver starts at sea level. The pressure on the diver at a depth of d feet is given by the formula below, where P represents the total pressure in pounds per square foot. P = 64d + 2112 Rewrite the formula solved for d If the pressure on a diver is 4032 pounds per square foot, what is the diver’s current depth?

  2. WARM UP 4 Scuba Diving: A scuba diver starts at sea level. The pressure on the diver at a depth of d feet is given by the formula below, where P represents the total pressure in pounds per square foot. P = 64d + 2112 Rewrite the formula solved for d If the pressure on a diver is 4032 pounds per square foot, what is the diver’s current depth?

  3. WARM UP 3 Scuba Diving: A scuba diver starts at sea level. The pressure on the diver at a depth of d feet is given by the formula below, where P represents the total pressure in pounds per square foot. P = 64d + 2112 Rewrite the formula solved for d If the pressure on a diver is 4032 pounds per square foot, what is the diver’s current depth?

  4. WARM UP 2 Scuba Diving: A scuba diver starts at sea level. The pressure on the diver at a depth of d feet is given by the formula below, where P represents the total pressure in pounds per square foot. P = 64d + 2112 Rewrite the formula solved for d If the pressure on a diver is 4032 pounds per square foot, what is the diver’s current depth?

  5. WARM UP 1 Scuba Diving: A scuba diver starts at sea level. The pressure on the diver at a depth of d feet is given by the formula below, where P represents the total pressure in pounds per square foot. P = 64d + 2112 Rewrite the formula solved for d If the pressure on a diver is 4032 pounds per square foot, what is the diver’s current depth?

  6. WARM UP 0 Scuba Diving: A scuba diver starts at sea level. The pressure on the diver at a depth of d feet is given by the formula below, where P represents the total pressure in pounds per square foot. P = 64d + 2112 Rewrite the formula solved for d If the pressure on a diver is 4032 pounds per square foot, what is the diver’s current depth?

  7. 3.8 Ratios and Rates • GOAL: Use ratios and rates to solve real-life problems. • KEY WORDS: • Ratio • Rate • Unit Rate • Unit Analysis

  8. 3.8 Ratios and Rates The ratio of a to b is . If a and b, are measured in different units, then is called the rate of a per b. A unit rate is a rate per one given unit, such as 60 miles per gallon. a a b b

  9. 3.8 Ratios and Rates EXAMPLE 1: Find a Ratio The tennis team won 10 of its 16 matches. Find the ratio of wins to losses. SOLUTION Ratio = = = ANSWER The win-loss ratio is 5/3, which is read as: “Five to Three.” 5 Matches won 10 matches Matches lost 6 matches 3

  10. 3.8 Ratios and Rates EXAMPLE 2: Find a Unit Rate You run a 10 kilometer race in 50 minutes. What is your average speed in kilometers per minute? SOLUTION Rate = = = ANSWER Your average speed is: “0.2 kilometers per minute” 10 kilometers 1 kilometer 50 minutes 5 minutes 0.2 km/min

  11. 3.8 Ratios and Rates EXAMPLE 3 Your school football team won 8 out of 15 games, with no tie games. What was team’s ratio of wins to losses?

  12. 3.8 Ratios and Rates EXAMPLE 4 Find the unit rate: A plane flies 1200 miles in 4 hours.

  13. 3.8 Ratios and Rates EXAMPLE 5 Find the unit rate: You earn $45 for mowing 3 lawns. YOU ARE CERTIFIED!

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