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Mathematics 10 Online
OpenStudy (camerondoherty):

GIVE DAN A MEDAL

OpenStudy (camerondoherty):

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) = 8(1.05)n Part A: When the scientist concluded his study, the height of the plant was approximately 11.26 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 = 2 to n = 6, and what does it represent? (4 points)

OpenStudy (anonymous):

the answer is message me

OpenStudy (camerondoherty):

@dan815 youre my only hope can u help me plz?

OpenStudy (dan815):

Start with the equation of a line you have f(n)=8*(1.05)n

OpenStudy (dan815):

Lets see how many day or "n" would give us 11.26 cm height

OpenStudy (camerondoherty):

10 something

OpenStudy (dan815):

11.26=8*(1.05)n 11.26=8.40n 11.26/8.40=n

OpenStudy (camerondoherty):

\[\frac{ 11.26 }{ 8.40 }= n\]

OpenStudy (dan815):

yes, what does that come out to be

OpenStudy (camerondoherty):

solve for n?

OpenStudy (dan815):

Yes, can you tell me what that fraction is in decimal form

OpenStudy (camerondoherty):

is it a long jumble of numbers?

OpenStudy (dan815):

That's fine round it off to 2 decimals

OpenStudy (camerondoherty):

1.34

OpenStudy (dan815):

Okay well sow now we know that since he stops his experiment, when the height is 11.26 and that is after, we can pick a reasonable domain to graph our function

OpenStudy (dan815):

Since n = # of days, it would be a little silly to have negative days , so we should start with n=0 and go upto n=1.5 lets say for a nicer number

OpenStudy (dan815):

You can also be exact and say, n from 0 to 1.34

OpenStudy (camerondoherty):

wait hold on a second we need to find everything? all of the points I kinda don't get what ur satying here

OpenStudy (camerondoherty):

*saying

OpenStudy (dan815):

No, we dont need to find all the points, we have enough points, we just have to draw the line like this

OpenStudy (anonymous):

My turn! :D

OpenStudy (dan815):

|dw:1403714024934:dw|

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