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Depth Descent of a Deep-Sea Diver

Depth Descent of a Deep-Sea Diver
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2015-11-04 23:32
FunctionCoordinate GeometrySlider AnimationGraphing
This example simulates a deep-sea diver descending 28 feet every minute to demonstrate linear functions. Key math concepts include linear functions and speed. It uses commands like Line, Point, Segment, OrthogonalLine, Intersect, LaTeX, Sequence, and is suitable for middle school math education.

GeoGebra Commands & Parameters

  1. Line(I, J) → a_2
  2. Point(xAxis) → B_1
  3. Segment(A_1, B_1) → d
  4. OrthogonalLine(DPT1, xAxis) → c_1
  5. Segment(PO1, A_1) → e
  6. Point(xAxis) → C_1
  7. OrthogonalLine(C_1, c_1) → f
  8. Intersect(c_1, f) → D_1
  9. Segment(DPT1, D_1) → g
  10. OrthogonalLine(DPT2, f) → h
  11. Intersect(f, h) → G_1
  12. OrthogonalLine(G_1, h) → i
  13. Intersect(f, h) → H_1
  14. Point(f) → J_1
  15. Segment(I_1, J_1) → j
  16. Segment(I_1, DPT2) → k
  17. Segment(DPT2, G_1) → l
  18. Point(xAxis) → K_1
  19. Line(K_1, L_1) → m
  20. Point(xAxis) → N_1
  21. Line(M_1, N_1) → n
  22. Point(m) → O_1
  23. Point(n) → P_1
  24. Line(O_1, P_1) → r
  25. Point(m) → Q_1
  26. Point(n) → R_1
  27. Line(Q_1, R_1) → s
  28. Line(L_1, M_1) → t
  29. LaTeX("\text{Min}") → text2
  30. LaTeX("\text{Max}") → text2_3
  31. Sequence(Segment[AB + (d, 0), AB + (d, (-0.6))], d, 0, 10) → list1
  32. Sequence(Segment[AB + (d - 0.5, 0), AB + (d - 0.5, (-0.4))], d, 1, 10) → list2
  33. Segment(AB, AB2) → a
  34. LaTeX("\text{if she travels at the same rate?}") → MainQ_1
  35. LaTeX("\text{Write the rate of descent as a fraction.}") → Question1
  36. LaTeX("\text{\mathbf{Rate} a ratio that compares measurements with different kinds of units. }") → text1
  37. LaTeX((((("\text{A deep-sea diver descends \textcolor{#000099}{" * Va11) * "} feet every minute.How far does she descend in \textcolor{#000099}{ ") * Va12) * "} minutes}")) → MainQ
  38. LaTeX((((("\text{The diver descends \textcolor{#000099}{ " * Va11) * "} feet per minute,so the rate is \frac{\textcolor{#000099}{ ") * Va11) * "\; feet}}{\textcolor{#000099}{1\;minute}}.}")) → Question1text1
  39. LaTeX((("\text{Write an equivalent rate to determine how far she descends in \textcolor{#000099}{" * Va12) * "} minutes.}")) → Question1text3
  40. LaTeX((((("\text{Multiply the numerator and denominator by \textcolor{#000099}{" * Va12) * "} so that the denominator represents \textcolor{#000099}{") * Va12) * "} minutes.}")) → Question1Final
  41. LaTeX((((((((((("\text{ \frac{\textcolor{#000099}{ " * Va11) * "\; feet × \textcolor{#000099}{ ") * Va12) * "}}}{\textcolor{#000099}{1\;minute × \textcolor{#000099}{ ") * Va12) * "}}}=\frac{\textcolor{#000099}{") * Va3) * "\; feet}}{\textcolor{#000099}{") * Va12) * "\; minutes}} }")) → Question2
  42. LaTeX((((("\text{The diver descends \textcolor{#000099}{" * Va3) * "} feet in \textcolor{#000099}{") * Va12) * "} minutes.}")) → text7
  43. LaTeX((("\text{Depth descended per minute=" * Va11) * "\:feet}")) → text2_1
  44. LaTeX((("\text{Duration=" * Va12) * "}")) → text2_2