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) = 10(1.02)n Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 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 = 1 to n = 5, and what does it represent? (4 points)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@misssunshinexxoxo
misssunshinexxoxo
  • misssunshinexxoxo
Are you familiar with x and y intercepts?
anonymous
  • anonymous
yes cutie

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More answers

misssunshinexxoxo
  • misssunshinexxoxo
What is the height of the plant? "the height of the plant was approximately 11.04 cm"
misssunshinexxoxo
  • misssunshinexxoxo
That's your y intercept
anonymous
  • anonymous
yes so do we plug that in the equation that they give us
anonymous
  • anonymous
and ok
misssunshinexxoxo
  • misssunshinexxoxo
f(1) = 10.02 f(5) = 11.041 m(ave) = (11.041 - 10.02) / (5 - 1) = 0.255 cm/day
anonymous
  • anonymous
so that whole thing would be part A
misssunshinexxoxo
  • misssunshinexxoxo
It's all three
misssunshinexxoxo
  • misssunshinexxoxo
Domain is 0 through 5
misssunshinexxoxo
  • misssunshinexxoxo
What is the height of the plant?
anonymous
  • anonymous
oh ok thank you your the best <3
anonymous
  • anonymous
11.04cm
misssunshinexxoxo
  • misssunshinexxoxo
That's B^
misssunshinexxoxo
  • misssunshinexxoxo
y intercept
anonymous
  • anonymous
yeah
anonymous
  • anonymous
hey for part B what would the f(n) represent
anonymous
  • anonymous
@misssunshinexxoxo
misssunshinexxoxo
  • misssunshinexxoxo
The starting height of the plant
anonymous
  • anonymous
oh ok that makes sense thank you
anonymous
  • anonymous
so for the final part the function is going to look like this f(n)=10(1.02)^1 f(n)=10(1.02)^5
anonymous
  • anonymous
@misssunshinexxoxo

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