Ratios and Proportional Relationships Chapter 1 Unit Rates
- Slides: 33
Ratios and Proportional Relationships Chapter 1
Unit Rates and Complex Fractions Convert Unit Rates Proportional and Nonproportional Relationships Solving Proportional Relationships Final Jeopardy Constant Rate of Change Slope and Direct Variation
Unit Rates Category 1 and Complex Fractions Find the Unit Rate. Round to the nearest hundredth if necessary. 88 students for 4 class 1 min. 22 students per class GAME BOARD
Unit Rates and Complex Fractions Find the Unit Rate. Round to the nearest hundredth if necessary. 549 cars on 9 acres 1 min. 61 cars per acre GAME BOARD
Unit Rates Category 1 and Complex Fractions Simplify 1 min. GAME BOARD
Unit Rates Category 1 and Complex Fractions Simplify 1 min. 27 GAME BOARD
Unit Rates Category 1 and Complex Fractions Danny can jog miles in hour. Find his average speed in miles per 2 min. hour. mph GAME BOARD
Convert Unit Rates Convert the rate. Round to the nearest hundredth if necessary. 110 mi/h = _____ mi/day 1 min. 30 sec. 2, 640 mi/day GAME BOARD
Convert Unit Rates Convert the rate. Round to the nearest hundredth if necessary. 22 lb/day ≈ _____ oz/h 1 min. 30 sec. 14. 7 oz/h GAME BOARD
Convert Unit Rates 1 min. 30 sec. Convert the rate. Round to the nearest hundredth if necessary. 720 pt/h ≈ _____ qt/min 6 qt/min GAME BOARD
Convert Unit Rates A pool is being drained at a rate of 120 gallons per minute. What is this rate in quarts per hour? 2 min. 28, 800 qt/h GAME BOARD
Convert Unit Rates The Green family drinks 2 quarts of milk per day. How many gallons of milk do they drink in a week? 2 min. 3. 5 gal/wk GAME BOARD
Proportional and Nonproportional Relationships Proportional or Nonproportional? Number of Hours Total Amount Earned 1 2 3 4 $16 $32 $48 $64 45 sec. Proportional GAME BOARD
Proportional and Nonproportional Relationships Proportional or Nonproportional? Number of Hours Songs played 1 2 3 4 21 45 88 155 45 sec. Nonproportional GAME BOARD
Chips Proportional or Nonproportional? Cost ($) Proportional and Nonproportional Relationships 30 sec. Bags of Chips Proportional GAME BOARD
Proportional and Nonproportional Relationships 1 min. The fastest mammal on earth, a cheetah, runs at a rate of 75 miles per hour. Is the distance a cheetah runs proportional to the number of hours it runs? Yes GAME BOARD
Proportional and Nonproportional Relationships A math club has 5 members for every team, with the exception of four teams that have 7 members each. Is the number of players proportional to the number of 2 min. teams? No GAME BOARD
Solving Proportional Relationships Solve. 1 min. a=5 GAME BOARD
Solving Proportional Relationships Solve. 1 min. y = 30 GAME BOARD
Solving Proportional Relationships Solve. 1 min. x=7 GAME BOARD
Solving Proportional Relationships About 18 out of 26 homes have a computer. On a street with 65 homes, how many would you expect 1 min. 30 sec. to have a computer? 45 homes GAME BOARD
Solving Proportional Relationships A grading machine can grade 32 multiplechoice tests in 1 minute. How long will it take the machine to grade 200 tests? 2 min. 6. 25 min. GAME BOARD
Constant Rate of Change 1 min. Find the Constant Rate of Change Time Temperature (°F) 1: 00 72 2: 00 74 3: 00 76 4: 00 78 2 °F per hour GAME BOARD
Constant Rate of Change 1 min. Find the Constant Rate of Change Time Spent Working (h) Money Earned 1 15 3 35 5 55 7 75 $10 per hour GAME BOARD
Constant Rate of Change Find the Constant Rate of Change 1 min. -5 °F per hour GAME BOARD
Constant Rate of Change 2 min. Amy is depositing money into a bank account. After 3 months there is $135 in the account. After 6 months, there is $270 in the account. Find the constant rate of change of the account. Increasing by $45 per month GAME BOARD
Constant Rate of Change At 1 P. M. , the level of the water in the pool was 12 feet. At 5 P. M. , the level of water was 4 feet. Find the 2 min. constant rate of change of the water. Decreasing 2 feet per hour GAME BOARD
Slope and Direct Variation 1 min. GAME BOARD The line represents the length and height of a skateboard ramp. Find the slope of the ramp.
Slope and Direct Variation 45 sec. Use the table to find the slope. Explain what the slope represents. Hours 1 2 3 4 Wages ($) 13 26 39 52 13; $13 per hour GAME BOARD
Slope and Direct Variation 1 min. GAME BOARD Use the graph that shows the number of laps completed over time. Find the slope of the line.
Slope and Direct Variation Determine whether the linear function is a direct variation. If so, state the constant of proportionality. Speed, x 20 24 28 32 Distance, y 100 120 140 160 1 min. Yes, 5 GAME BOARD
Slope and Direct Variation 2 min. The number of home theaters a company sells varies directly as the money spent on advertising. . How many home theaters does the company sell for each $500 spent on advertising? 8 GAME BOARD
500 points 2 min. GAME BOARD If y varies directly with x, write an equation for the direct variation. Then find the value. If y = – 4 when x = 10, find y when x = 5
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