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Teacher professional development and classroom resources across the curriculum  MENU          Solutions for Session 7, Part B

See solutions for Problems: B1 |B2 | B3 | B4 | B5 | B6| B7   Problem B1 Most initial reactions are to choose plan A.   Problem B2 The total for 25 weeks of plan A, at \$2,000 per week, is \$50,000. Plan B, which starts at 1 penny and doubles each week totals \$335,544.31, including \$167,772.16 in the final week.    Problem B3 After 40 weeks, the grand total at this job would be \$10,995,116,277.75, including just under \$5.5 billion in the last week. Before the end of the year, you would exhaust the total money supply of the United States.   Problem B4

Here is the completed table.

 Years after 1981 Estimated Population 0 350 1 399 2 455 3 519 4 591 5 674   Problem B5 You can extend the spreadsheet, but an easier way to obtain an answer would be to calculate 350 * (1.14)20 = 4,810 whales. One way to estimate this is to observe that the population seems to be nearly doubling in 5 years (doubling would be 700 whales). This means that we could expect the population to nearly double three more times in a total of 20 years. This doubling would be 350 -> 700 -> 1,400 -> 2,800 -> 5,600, so an estimate is roughly 5,000 whales.   Problem B6 It takes a little more than 5 years. And no, it doesn't matter what the initial population value was, because the ratio of the population after 5 years from now relative to starting population is created only by multiplying 1.14 five times.   Problem B7 One possible pattern is to build, at each stage, a triangle of toothpicks with sides twice as long as the previous triangle.      Session 7: Index | Notes | Solutions | Video

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