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anonymous
 one year ago
Please help I will medal/fan (NO DIRECT ANSWERS) :)
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 C: What is the average rate of change of the function f(n) from n = 2 to n = 6, and what does it represent?
anonymous
 one year ago
Please help I will medal/fan (NO DIRECT ANSWERS) :) 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 C: What is the average rate of change of the function f(n) from n = 2 to n = 6, and what does it represent?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Please help @mathway @misty1212 @Australopithecus

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I know that aroc=\[\frac{ f(b)f(a) }{ba }\]

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1so you could try \(\frac{f(6)f(2)}{62}\) ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the average is then 1. I know that the f(b) and f(a) are the y values, and b and a are the x values. @IrishBoy123

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ y2y1 }{ x2x1 }\]

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1\(\large \frac{8(1.05)^6  8(1.05)^2}{62}\) \(\large = 8\frac{(1.05)^6  (1.05)^2}{4}\) \(\large = 2[(1.05)^6  (1.05)^2]\) that's shouldn't give you 1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay then... this is a different equation. Could you help me solve it?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1do you see where it came from? the rest is just pumping it into a calculator

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1\(f(n) = 8(1.05)^n\) so \(f(6) = 8(1.05)^6\) \(f(2) = 8(1.05)^2\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay what exactly would I type into my calculator, it is not hard to get the numbers messed up. Sorry for being such a bish I woke up early.. :( @IrishBoy123

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The average rate of change is (change in height)/(change in n) The change in height is 10.72  8.82 = 1.9 The change in n is 6  2 = 4 So the average rate of change is 1.9/4 = 0.475 But what is the average rate of change? It is the average daily (because a single change in n corresponds to a day) growth of the plant (because f(n) represents height)

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1so you got the 0.475. good. and yes it is the average change per day. it is a simplification  ie assuming the change per day is the same  becauseit isn't this is an exponential so the change per day increases...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So everything I said was correct? @IrishBoy123 thanks!!

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1sounded good to me
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