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anonymous

  • one year ago

The table below represents the displacement of a turtle from its nest as a function of time: Time (hours) x Displacement from nest (miles) y 0 5 1 27 2 49 3 71 4 93 Part A: What is the y-intercept of the function, and what does this tell you about the turtle? Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 4 hours, and tell what the average rate represents. Part C: What would be the domain of the function if the turtle continued to walk at this rate until it traveled 225 miles from the nest?

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  1. anonymous
    • one year ago
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    I NEED HELP PLEASE ????????? HELP MEEEEEE

  2. jim_thompson5910
    • one year ago
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    `Part A: What is the y-intercept of the function, and what does this tell you about the turtle?` when x = 0, what is the value of y?

  3. jim_thompson5910
    • one year ago
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    The information is given in the table

  4. anonymous
    • one year ago
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    yea

  5. jim_thompson5910
    • one year ago
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    do you see where I'm referring to?

  6. anonymous
    • one year ago
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    no sorry not that good at math

  7. jim_thompson5910
    • one year ago
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    look at the row that has x = 0 what is next to that value?

  8. anonymous
    • one year ago
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    5

  9. jim_thompson5910
    • one year ago
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    so x = 0 and y = 5 pair up giving the ordered pair (0,5)

  10. jim_thompson5910
    • one year ago
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    what this means is that at time 0 hours, the distance is 5 miles basically the turtle is 5 miles away from the nest at the beginning

  11. anonymous
    • one year ago
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    ok so i write a equation

  12. jim_thompson5910
    • one year ago
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    no you just use words to explain what the y intercept means

  13. jim_thompson5910
    • one year ago
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    similar to how I explained it just now

  14. anonymous
    • one year ago
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    ok got it .......................so for part B I din't know how to do it can you help me

  15. jim_thompson5910
    • one year ago
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    `Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 4 hours, and tell what the average rate represents.` fill in these blanks if x = 1, then y = ________ if x = 4, then y = ________

  16. anonymous
    • one year ago
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    Y=27 Y=93

  17. jim_thompson5910
    • one year ago
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    so we have these two points that are of interest to us (1,27) and (4,93)

  18. jim_thompson5910
    • one year ago
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    find the slope through those two points to get the answer

  19. jim_thompson5910
    • one year ago
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    slope formula \[\Large m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]

  20. anonymous
    • one year ago
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    if thats not right then i think it might be m=-66/3

  21. jim_thompson5910
    • one year ago
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    you should get 66/3 which reduces to 22

  22. anonymous
    • one year ago
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    yep

  23. jim_thompson5910
    • one year ago
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    what does this mean in terms of the problem?

  24. anonymous
    • one year ago
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    22 miles i think

  25. jim_thompson5910
    • one year ago
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    close

  26. jim_thompson5910
    • one year ago
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    not quite the full picture though

  27. jim_thompson5910
    • one year ago
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    slope = 22 = 22/1 this means that each time x increases by 1, y increases by 22 each time the hour amount goes up by 1, the mile amount goes up by 22 basically the turtle is going (22 miles)/(1 hour) = 22 mph. This is a very fast turtle lol

  28. anonymous
    • one year ago
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    yea lol thanks

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