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

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

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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.

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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.

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

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Example 1

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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?

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Example #2 Example 2

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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?

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A set of linear equations involving the two variables A solution is the intersection of the two lines. One of three things can happen: 11.1 Systems of.

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