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farmergirl411

  • 3 years ago

In the forrest the population of gray squirrels oscillates between a high of 5700 on January 1 (t=0)and a low of 2100 in July 1(t=6), Find a function for the population p(t) of grey squirrels in terms of time t months

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  1. j814wong
    • 3 years ago
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    First you want to find the slope of teh graph from t=0 to t=6. Just use the slope formula.

  2. farmergirl411
    • 3 years ago
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    I'm not quit sure how to do this problem so I need more info than that

  3. j814wong
    • 3 years ago
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    After that, apply the slope to the formula, y=mx+b where m equals the slope. To solve for b, plug in either the first set of coordinates, (0,5700) or the second one (6,2100). If you get the right slope, the b value will be equal either way. Now plug in m and b in y=mx+b and you're done.

  4. farmergirl411
    • 3 years ago
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    I understand how to the rest after the slope can you just help me with the slope

  5. j814wong
    • 3 years ago
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    The slope formula is \[m= (y _{2}-y _{1})/(x _{2}-x _{1})\] The x value is the time and the y value is the population since the population varies with time. As such, time is teh independent variable, x.

  6. farmergirl411
    • 3 years ago
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    so is the answer y=600x+5700

  7. j814wong
    • 3 years ago
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    The slope should be a -6. Did you do 5700-2100 instead of 2100-5700?

  8. j814wong
    • 3 years ago
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    It is importable to be very careful with this. y2 and x2 mean the second end of teh slope, right of the first end, y1 and x1. 5700 is at t=0 while 2100 is at t=6 so 2100 is y2 value.

  9. farmergirl411
    • 3 years ago
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    I didi that and you get 3600. sO then you take 3600/6=600 and m=600. Then you do5700=600(0)+b. and b=5700

  10. farmergirl411
    • 3 years ago
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    you just meany=-600x+57000 now good

  11. j814wong
    • 3 years ago
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    That's right

  12. j814wong
    • 3 years ago
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    m=(2100-5700)/(6-0)=-600

  13. farmergirl411
    • 3 years ago
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    ok so then that is my answer right

  14. j814wong
    • 3 years ago
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    Yeah

  15. farmergirl411
    • 3 years ago
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    p(t)=-600x+5700

  16. j814wong
    • 3 years ago
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    Correct

  17. farmergirl411
    • 3 years ago
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    thanks

  18. j814wong
    • 3 years ago
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    You're welcome

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