Lesson 6-4 Part 2: Application of Systems of Equations November 13, 2014.

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Presentation transcript:

Lesson 6-4 Part 2: Application of Systems of Equations November 13, 2014

Daily Learning Target I will apply systems of linear equations to real world situations.

Wind Speed Problems When a plane travels from west to east across the US, the steady wind acts as a tailwind. This will increase the plane’s speed relative to the ground speed. When a plane travels from east to west, the steady wind acts as a headwind. This will decrease the plane’s speed relative to the ground. The same concept will occur for the current of water when talking about a boat.

Water Current Speed When a boat travels with the current of water, the steady water current will increase the boat’s speed relative to the ground speed. When a boat travels against the current of water, the steady water current will decrease the boat’s speed relative to the ground.

What does it look like? West to East (traveling downstream) East to West (traveling upstream)

Example 1

Independent Practice #1 A traveler is walking on a moving walkway in an airport. The traveler must walk back on the walkway to get a bag he forgot. The traveler’s groundspeed is 2 ft/s against the walkway and 6 ft/s with the walkway. What is the traveler’s speed off the walkway? What is the speed of the moving walkway?

Example #2 Example 2

Independent Practice #2 You row upstream at a speed of 2 mi/h. You travel the same distance downstream at a speed of 5 mi/h. What would be your rowing speed in still water? What is the speed of the current?