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iPhone Investigation

iPhone Investigation. Debrief. iPhone 3GS. How long does it take to charge?. How long does it take to charge?. Organize this data with a table and a graph. ? p.m. Then, use your mathematical model to predict the times for: 76% charge 100% charge. How close was your original guess ?.

leonard-acevedo
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iPhone Investigation

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  1. iPhone Investigation Debrief

  2. iPhone 3GS How long does ittake to charge?

  3. How long does ittake to charge?

  4. Organize this data with a table and a graph. ? p.m. • Then, use yourmathematical model • to predict the times for: • 76% charge • 100% charge How close was your original guess?

  5. Function Notation c(t) Clearly define your variables:t , c Evaluate the function:c(30) c(45) Find t, such that:c(t) = 76 c(t) = 100

  6. ? p.m. ? p.m. 76%charged

  7. 6:39 p.m. 76%charged

  8. ? p.m. ? p.m. 100%charged

  9. 7:47 p.m. 100% charged

  10. iPhone Investigation A Second Look

  11. Our data: Percent charge Elapsed time (minutes)

  12. Our data: 128 minutes7:47 pm Percent charge ? Approximately 6:59 pm About 80 minutespast 5:39 pm Elapsed time (minutes)

  13. Let’s analyze a more complete data set

  14. Record the following data

  15. 5:39 p.m. 7% charged

  16. 5:43 p.m. 12% charged

  17. 5:48 p.m. 19% charged

  18. 5:56 p.m. 27% charged

  19. 5:59 p.m. 31% charged

  20. 6:05 p.m. 37% charged

  21. 6:07 p.m. 40% charged

  22. 6:14 p.m. 48% charged

  23. 6:18 p.m. 53% charged

  24. 6:22 p.m. 58% charged

  25. 6:29 p.m. 66% charged

  26. 6:32 p.m. 69% charged

  27. 6:39 p.m. 76%charged

  28. 6:41 p.m. 77% charged

  29. 6:47 p.m. 81% charged

  30. 6:54 p.m. 85% charged

  31. 7:01 p.m. 88% charged

  32. 7:11 p.m. 91% charged

  33. 7:13 p.m. 92% charged

  34. 7:16 p.m. 93% charged

  35. 7:23 p.m. 94% charged

  36. 7:30 p.m. 95% charged

  37. 7:36 p.m. 96% charged

  38. 7:41 p.m. 97% charged

  39. 7:47 p.m. 100%charged

  40. Make anewgraphfor this more complete data set. Explain your new observations.

  41. Find another mathematical modelto describe the second part of the data:beyond 60 minutes

  42. LinearModels

  43. y = 0.31x + 61 LinearModels y = 1.17x + 7.6

  44. y = 0.31x + 61 for 60 <x  128 Domain for 0  x  60 y = 1.17x + 7.6

  45. iPhone Investigation Extension

  46. 5:39 p.m. 7% charged At what time was the phone first plugged in? 0% charged

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