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anonymous

  • one year ago

A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days. f(n) = 12(1.03)n Part A: When the scientist concluded his study, the height of the plant was approximately 16.13 cm. What is a reasonable domain to plot the growth function? (4 points) Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points) Part C: What is the average rate of change of the function f(n) from n = 3 to n = 10 and what does it represent? (4 points)

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  1. anonymous
    • one year ago
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    Will Medal and Fan

  2. amoodarya
    • one year ago
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    do you mean ?\[f(n) = 12(1.03)^n\]

  3. anonymous
    • one year ago
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    Yes sorry about that

  4. amoodarya
    • one year ago
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    |dw:1436903526840:dw|

  5. anonymous
    • one year ago
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    So how would I explain this is word form?

  6. amoodarya
    • one year ago
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    |dw:1436903579388:dw|

  7. amoodarya
    • one year ago
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    \[f(n) = 12(1.03)^n=16.13\\(1.03)^n=\frac{16.13}{12}=1.344\]

  8. anonymous
    • one year ago
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    M'kay I think I may be starting to get it but I'm not sure yet

  9. amoodarya
    • one year ago
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    now you can find n \[(1.03)^n=1.344\\ \ln (1.03)^n= \ln 1.344\\n \ln 1.03 =\ln 1.344\]

  10. anonymous
    • one year ago
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    tbh just looking at thAT MAKES ME FORGOT EVERYTHING xd

  11. amoodarya
    • one year ago
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    n=9.98 --->almost 10

  12. anonymous
    • one year ago
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    So the answer would be ten right?

  13. amoodarya
    • one year ago
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    yeah for part b it means first value of this plants

  14. amoodarya
    • one year ago
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    \[part\\c\\\frac{f(10)-f(3)}{10-3}\]

  15. amoodarya
    • one year ago
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    this is average of n=3 to 10

  16. anonymous
    • one year ago
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    Ok

  17. anonymous
    • one year ago
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    So the equation u typed before would be the answer?

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