Ratios and Proportional Relationships Chapter 1

Unit Rates and Complex Fractions Convert Unit Rates ProportionalandNonproportionalRelationships SolvingProportionalRelationships Constant Rate of Change Slope and DirectVariation Final Jeopardy

Category 1 Find the Unit Rate. Round to the nearest hundredth if necessary. 88 students for 4 class Find the Unit Rate. Round to the nearest hundredth if necessary. 88 students for 4 class 1 min. 22 students per class Unit Rates and Complex Fractions

61 cars per acre 1 min. Unit Rates and Complex Fractions Find the Unit Rate. Round to the nearest hundredth if necessary. 549 cars on 9 acres Find the Unit Rate. Round to the nearest hundredth if necessary. 549 cars on 9 acres

Category 1 1 min. Unit Rates and Complex Fractions Simplify

Category 1 Simplify 1 min. Unit Rates and Complex Fractions 27

Category 1 Danny can jog miles in hour. Find his average speed in miles per hour. 2 min. Unit Rates and Complex Fractions mph

2,640 mi/day 1 min. 30 sec. Convert Unit Rates Convert the rate. Round to the nearest hundredth if necessary. 110 mi/h = _________ mi/day Convert the rate. Round to the nearest hundredth if necessary. 110 mi/h = _________ mi/day

14.7 oz/h Convert Unit Rates Convert the rate. Round to the nearest hundredth if necessary. 22 lb/day ≈ _________ oz/h Convert the rate. Round to the nearest hundredth if necessary. 22 lb/day ≈ _________ oz/h 1 min. 30 sec.

6 qt/min Convert Unit Rates Convert the rate. Round to the nearest hundredth if necessary. 720 pt/h ≈ _________ qt/min Convert the rate. Round to the nearest hundredth if necessary. 720 pt/h ≈ _________ qt/min 1 min. 30 sec.

2 min. Convert Unit Rates A pool is being drained at a rate of 120 gallons per minute. What is this rate in quarts per hour? 28,800 qt/h

2 min. Convert Unit Rates 3.5 gal/wk The Green family drinks 2 quarts of milk per day. How many gallons of milk do they drink in a week? The Green family drinks 2 quarts of milk per day. How many gallons of milk do they drink in a week?

45 sec. ProportionalandNonproportionalRelationships Proportional or Nonproportional? Proportional Number of Hours1234 Total Amount Earned$16$32$48$64

Nonproportional 45 sec. ProportionalandNonproportionalRelationships Proportional or Nonproportional? Number of Hours1234 Songs played

30 sec. ProportionalandNonproportionalRelationships Proportional or Nonproportional? Proportional or Nonproportional? Proportional Chips Bags of Chips Cost ($)

1 min. ProportionalandNonproportionalRelationships 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

2 min. ProportionalandNonproportionalRelationships 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 teams? 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 teams? No

1 min. SolvingProportionalRelationships Solve. a = 5

Solve. y = 30 1 min. SolvingProportionalRelationships

x = 7 1 min. SolvingProportionalRelationships Solve.

45 homes 1 min. 30 sec. About 18 out of 26 homes have a computer. On a street with 65 homes, how many would you expect to have a computer? SolvingProportionalRelationships

A grading machine can grade 32 multiple- choice tests in 1 minute. How long will it take the machine to grade 200 tests? 6.25 min. 2 min. SolvingProportionalRelationships

Find the Constant Rate of Change Find the Constant Rate of Change 2 °F per hour 1 min. Constant Rate of Change Time Temperature (°F) 1:0072 2:0074 3:0076 4:0078

$10 per hour Constant Rate of Change Find the Constant Rate of Change Find the Constant Rate of Change Time Spent Working (h) Money Earned min.

-5 °F per hour 1 min. Constant Rate of Change Find the Constant Rate of Change Find the Constant Rate of Change

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 2 min. 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 constant rate of change of the water. 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 constant rate of change of the water. Decreasing 2 feet per hour 2 min. Constant Rate of Change

1 min. Slope and DirectVariation The line represents the length and height of a skateboard ramp. Find the slope of the ramp.

13; $13 per hour 45 sec. Slope and DirectVariation Use the table to find the slope. Explain what the slope represents. Hours 1234 Wages ($)

1 min. Slope and DirectVariation Use the graph that shows the number of laps completed over time. Find the slope of the line.

Yes, 5 1 min. Slope and DirectVariation Determine whether the linear function is a direct variation. If so, state the constant of proportionality. Speed, x Distance, y

min. Slope and DirectVariation 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?

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 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 = points 2 min.