Warm up #4 Six apples and three oranges cost $3. 36 Warm up #4 Six apples and three oranges cost $3.36. Two apples and five oranges cost $3.04. Find the cost of an apple and the cost of an orange

Let a = cost of one apple and x = cost of one orange Warm up #4 Six apples and three oranges cost $3.36. Two apples and five oranges cost $3.04. Find the cost of an apple and the cost of an orange. Let a = cost of one apple and x = cost of one orange Apple is $0.32; orange is $0.48

8.5 Motion Problems Objective: Solve problems involving uniform motion

distance = (rate)(time) Victor drives 60 miles per hour for 3 hours. How far did he drive? Elise drives 200 miles in 4 hours. How fast did she drive? Destiny drives 50 miles per hour and travels 300 miles. How many hours did she drive?

Patterns Same direction: subtract Opposite directions: add Overtake: set distances equal to each other

Fred leaves the school on his bicycle and travels west at 14 km/h Fred leaves the school on his bicycle and travels west at 14 km/h. Celia leaves and walks east at 6 km/h. How many hours does it take for Fred and Celia to be 70 km apart? Fred Celia

Fred leaves the school on his bicycle and travels west at 15 km/h Fred leaves the school on his bicycle and travels west at 15 km/h. Celia leaves and jogs east at 9 km/h. How many hours does it take for Fred and Celia to be 96 km apart? Fred Celia

Fred leaves the school on his bicycle and travels east at 17 km/h Fred leaves the school on his bicycle and travels east at 17 km/h. Celia goes in the same direction at 9 km/h. In how many hours will they be 96 km apart? Fred 96 Celia

Jake leaves the school on his Vespa and travels east at 23 mph Jake leaves the school on his Vespa and travels east at 23 mph. Lisa leaves in the same direction at 6 mph. How many hours does it take for them to be 68 mi apart? Jake 68 Lisa

-2 Let x = hours after Fred leaves Fred leaves on his bicycle and travels west at 15 km/h. Two hours later Celia jogs east at 9 km/h. How many hours does it take for them to be 102 km apart? Let x = hours after Fred leaves -2 Fred Celia

-3 Let x = hours after Dan leaves Dan leaves the school on his skateboard and travels west at 7 km/h. 3 hours later Brisa jogs east at 8 km/h. In many hours will they be 81 km apart? Let x = hours after Dan leaves -3 Dan Brisa

Alex leaves the school on his jetskates and travels west at 25 km/h Alex leaves the school on his jetskates and travels west at 25 km/h. 1 hour later Elise skates in the same direction at 7 km/h. In many hours will they be 88 km apart? Elise Alex 88 -1 25 (x) – 7 (x-1) =88 25x -7x +7 =88

3. A small plane left Chicago at 11:00 p. m. and traveled at 180 mi/h 3. A small plane left Chicago at 11:00 p. m. and traveled at 180 mi/h. A jet left Chicago and traveled in the same direction at 720 mi/h. If the jet left Chicago at 2:00 a.m., at what time will the jet overtake the small plane? A small plane left Chicago at 11:00 p. m. and traveled at 180 mi/h. A jet left Chicago and traveled in the same direction at 720 mi/h. If the jet left Chicago at 2:00 a.m., at what time will the jet overtake the small plane?

3. A small plane left Chicago at 11:00 p. m. and traveled at 180 mi/h 3. A small plane left Chicago at 11:00 p. m. and traveled at 180 mi/h. A jet left Chicago and traveled in the same direction at 720 mi/h. If the jet left Chicago at 2:00 a.m., at what time will the jet overtake the small plane? A plane left LAX at noon and traveled at 300 mi/h. A jet left LAX and traveled in the same direction at 700 mi/h. If the jet left at 2:00 pm, at what time will the jet overtake the small plane?

Assignment Page 384 4, 5,6, 9, 10, 13, 14