Question

Help plz ive been stuck on this for an hour i give MEDAL

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?

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?

Answer 1

@ganeshie8

Answer 2

\[12\times1.03^{n}\]

Is that the correct equation?

Answer 3

Is that for part a b or c

Answer 4

@MrNood

Answer 5

It is a question - for you to clarify the form of the equation you have written..

Answer 6

Yes that is the correct equation

Answer 7

so you know that at the end, the height is 16.13

The domain means the values for n which are used.

So

f(n) = 16.13 = 12(1.03)^n

so find a value for n which is close to this solution...

Answer 8

Im still confused @MrNood

Answer 9

solve this equation for n

16.13= 12(1.03)^n

(start by dividing both sides by 12)

Answer 10

So 12 divided 16.13 or 1.03

Answer 11

OK - you need to be able to solve this equation
16.13= 12(1.03)^n

SO first do what I said
(start by dividing BOTH sides by 12)

Do you know about logs? - you will need this next.

Answer 12

Yes i do

Answer 13

SO first do what I said
(start by dividing BOTH sides by 12)

Post the new equation here

Answer 14

1.34=0.085

Answer 15

42!!! THE ANSWER TO THE UNIVERSE!!!!

Answer 16

the Left side is correct - what did you do for the right side?

Answer 17

I got 0.0858

Answer 18

I said what did you DO, not what dis you get. we are trying to solve for n - so it is still an unknown

\[\frac{ 12\times(1.03)^{n} }{ 12 }\]

Answer 19

1.033

Answer 20

I told you i suck at math

Answer 21

you wouldn't say you suck at sports/English/driving/spelling - why be proud of 'sucking' at maths?

The above equation is simple. Look at it again and write the answer:

Answer 22

Well i multiplied 12 x 1,03 and i got 1345.66 and then i would divide that by 12 i think if im correct?

Answer 23

Please take your time, and don't guess.

I'll re-write the equation:
\[\frac{ 12x }{12 }\]

now see the similarity:

\[\frac{ 12(1.03)^{n} }{ 12 }\]

So simplify the above..

Answer 24

How

Answer 25

LOL, this was 7 months ago...