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anonymous

  • one year ago

James has $32 and earns $10 per week for his allowance. What is the initial value for the scenario described?

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  1. mathstudent55
    • one year ago
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    Initial is what you start with. What does he have already before adding his weekly allowance?

  2. anonymous
    • one year ago
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    32

  3. anonymous
    • one year ago
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    @mathstudent55

  4. mathstudent55
    • one year ago
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    correct

  5. anonymous
    • one year ago
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    so is it just 32?

  6. anonymous
    • one year ago
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    One more question please? @mathstudent55

  7. anonymous
    • one year ago
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    Identify the initial value and rate of change for the graph shown (4 points) Initial value: 1, rate of change Initial value: , rate of change: 0 Initial value: 1, rate of change Initial value: , rate of change: 0

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  8. mathstudent55
    • one year ago
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    The initial value is the point where the line crosses the y-axis.

  9. mathstudent55
    • one year ago
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    The rate of change is the slope of the line.

  10. anonymous
    • one year ago
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    so is it A?

  11. mathstudent55
    • one year ago
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    A lot of the info is missing from your choices. The initial value is definitely 1.

  12. mathstudent55
    • one year ago
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    What are the slopes of choices A and C?

  13. anonymous
    • one year ago
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    sorry Initial value: 1, rate of change 3/5 Initial value: 3/5 , rate of change: 0 Initial value: 1, rate of change Initial value: 5/3 , rate of change: 0

  14. anonymous
    • one year ago
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    and c is 1 and 5/3

  15. mathstudent55
    • one year ago
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    Ok, just one more thing. What is the rate of change in choice C?

  16. mathstudent55
    • one year ago
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    Oh, I see it now.

  17. mathstudent55
    • one year ago
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    Let's find the slope.

  18. mathstudent55
    • one year ago
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    Pick any two points on the graph. Pick easy points to read where the line passes through grid intersections.

  19. anonymous
    • one year ago
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    1,4?

  20. mathstudent55
    • one year ago
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    Where the line crosses the y-axis is a good point. What are the coordinates of that point?

  21. anonymous
    • one year ago
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    1,1?

  22. anonymous
    • one year ago
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    im confused

  23. mathstudent55
    • one year ago
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    |dw:1436814894788:dw|

  24. mathstudent55
    • one year ago
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    Notice the point marked on the graph.

  25. mathstudent55
    • one year ago
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    It is the point where the line crosses the y-axis. From the origin (the point where the x-and y-axes intersect), how far right or left do you go to that point?

  26. mathstudent55
    • one year ago
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    |dw:1436815025478:dw|

  27. mathstudent55
    • one year ago
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    Notice there was no left or right movement to go from point O to point A.

  28. mathstudent55
    • one year ago
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    |dw:1436815106337:dw|

  29. mathstudent55
    • one year ago
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    That means the x-coordinate is 0. Point A has an x-coordinate of 0. We already have: (0, ) Now we need the y-coordinate of point A.

  30. mathstudent55
    • one year ago
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    How far up from the x-axis do you go to get to point A?

  31. anonymous
    • one year ago
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    so that would be 1?

  32. mathstudent55
    • one year ago
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    |dw:1436815198718:dw|

  33. mathstudent55
    • one year ago
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    Right, so the coordinates of point A are: (0, 1)

  34. mathstudent55
    • one year ago
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    Now we need to look at the original graph and find another easy point to read.

  35. mathstudent55
    • one year ago
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    An easy point to read lies on the intersection of grid lines. Start at point A, start going up to the right along the line, and tell me what is the first point along the line that is on a grid intersection?

  36. anonymous
    • one year ago
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    2

  37. mathstudent55
    • one year ago
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    |dw:1436815357431:dw|

  38. mathstudent55
    • one year ago
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    Look at my figure above. Going up to the right on the line, which is the first point on the line that is on a grid intersection? Copy my drawing and put a mark on the point you think it is.

  39. mathstudent55
    • one year ago
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    |dw:1436815517410:dw|

  40. mathstudent55
    • one year ago
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    Use the drawing just above here. I forgot one grid line in the earlier drawing.

  41. anonymous
    • one year ago
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    6?

  42. mathstudent55
    • one year ago
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    Look below. Would you agree that the line passes right by a grid intersection there? |dw:1436815638584:dw|

  43. mathstudent55
    • one year ago
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    Let's call the new point B. The coordinates of point B are (5, 4) |dw:1436815721902:dw|

  44. mathstudent55
    • one year ago
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    Now we need the slope between points A and B.

  45. mathstudent55
    • one year ago
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    Point A(0, 1) Point B(5, 4) Slope = (difference in y-coordinates)/(difference in x-coordinates) Slope = (4 - 1)(5 - 0) = 3/5 The rate of change is 3/5, and the initial value is 1.

  46. anonymous
    • one year ago
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    thank you

  47. mathstudent55
    • one year ago
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    yw

  48. anonymous
    • one year ago
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    one more question?

  49. anonymous
    • one year ago
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    @mathstudent55

  50. anonymous
    • one year ago
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    Bentley had $40 in birthday money in her piggy bank. She spent $10 on new flip-flops, then got $20 for her allowance and did not spend any of that money for 1 week. Finally, she spent $15 on new sunglasses. Which part of the scenario is best represented by a linear increasing interval?

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