Linear systems word problems: rates and plans

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Learn it Distance = speed × time. With a current (or wind), speed downstream is boat + current and upstream is boat − current. To compare two plans, write a cost equation for each and find where they are equal.

Example: Plan A: $30 + $2 per GB. Plan B: $10 + $6 per GB. When are they equal?

30 + 2g = 10 + 6g → 20 = 4g.
g = 5 GB (both cost $40).

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