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:

Question

anonymous · Answer

hummmm hey do u need help I am avaliable

sparklestaraa · Answer

f(n) = 12(1.03)^n @saynabahmed13 Yes yes i need help :D 

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? 

Part B: What does the y-intercept of the graph of the function f(n) represent? 

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?

sparklestaraa · Answer

@misty1212 I need help with this and the last part to another one :D

misty1212 · Answer

hi!!

misty1212 · Answer

did you get A, B?

sparklestaraa · Answer

no i didn't :(

misty1212 · Answer

$$f(n) = 12(1.03)^n$$
$$f(n) = 12(1.03)^n=16.13$$ solve for $n$ by checking

sparklestaraa · Answer

wait the full question isn't there

sparklestaraa · Answer

that needs to be here too

misty1212 · Answer

looks like $n=10$ check this http://www.wolframalpha.com/input/?i=12%281.03%29%5E10

sparklestaraa · Answer

ahh ok so is that for a b c d or e f

misty1212 · Answer

wow lets go slow

misty1212 · Answer

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?

misty1212 · Answer

solve as above, you see $n=10$ so ten weeks

sparklestaraa · Answer

ohhh so its the domain is 0 - 10 ?

misty1212 · Answer

yes

misty1212 · Answer

Part B: What does the y-intercept of the graph of the function f(n) represent?

sparklestaraa · Answer

wait is it any real number between 1- 10

misty1212 · Answer

the y intercept is what you get when $n=0$ which is $f(0)=12(1.03)^0=12$`

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misty1212 · Answer

that is what you start with, in other words the plant was 12 cm tall to start

misty1212 · Answer

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?

misty1212 · Answer

$$\frac{f(10)-f(3)}{10-3}$$ is the average rate of change 
lets use a caclulator

sparklestaraa · Answer

ok :)

misty1212 · Answer

http://www.wolframalpha.com/input/?i=%2812%281.03%29%5E10-12%281.03%29%5E3%29%2F7 looks like about $.43$

misty1212 · Answer

on average it grew $.43$ cm per day from day 3 to day 10

sparklestaraa · Answer

why is it day 3 to 10? @misty1212

sparklestaraa · Answer

Misty what is a and e and f ???