anonymous
  • anonymous
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)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Will Medal and Fan
amoodarya
  • amoodarya
do you mean ?\[f(n) = 12(1.03)^n\]
anonymous
  • anonymous
Yes sorry about that

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amoodarya
  • amoodarya
|dw:1436903526840:dw|
anonymous
  • anonymous
So how would I explain this is word form?
amoodarya
  • amoodarya
|dw:1436903579388:dw|
amoodarya
  • amoodarya
\[f(n) = 12(1.03)^n=16.13\\(1.03)^n=\frac{16.13}{12}=1.344\]
anonymous
  • anonymous
M'kay I think I may be starting to get it but I'm not sure yet
amoodarya
  • amoodarya
now you can find n \[(1.03)^n=1.344\\ \ln (1.03)^n= \ln 1.344\\n \ln 1.03 =\ln 1.344\]
anonymous
  • anonymous
tbh just looking at thAT MAKES ME FORGOT EVERYTHING xd
amoodarya
  • amoodarya
n=9.98 --->almost 10
anonymous
  • anonymous
So the answer would be ten right?
amoodarya
  • amoodarya
yeah for part b it means first value of this plants
amoodarya
  • amoodarya
\[part\\c\\\frac{f(10)-f(3)}{10-3}\]
amoodarya
  • amoodarya
this is average of n=3 to 10
anonymous
  • anonymous
Ok
anonymous
  • anonymous
So the equation u typed before would be the answer?

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