Question

MEDAL AND FAN
Please help me out!!!
I'm really confused and I have to get this done quickly!!!!!

Answer 1

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)

Answer 2

Part B: The y-intercept represents the height of the plant at the beginning.
That's all I have so far. Is that right?

Answer 3

part A: ok, this is stupid, i just can't think straight, soooo plz explain a domain to me.
part C: do i just have to solve it for both 2 and 6?

Answer 4

the equation is
f(n)=8(1.50)n
now f(n) is the height of plant while n is days
in part A the height f(n) is given that is
f(n)=11.26cm
now put it in the above equation at the place of f(n)
11.26 = 8(1.50)n
now solve it for n

Answer 5

and show me what did u get the value of n?

Answer 6

ok

Answer 7

I multiply 8 by 1.5 and I get 11.26=12n, then divide by 11.26 to get 1.07=n
or i could round even more and get 1.1=n

Answer 8

no
n= 0.938
here n is the domain so the reasonable domain is 0.938 day

Answer 9

ok

Answer 10

how did u get .938?

Answer 11

Thanks for explaining part A. Now, am i right about what I have to do for C? can u check my work when i do it to make sure i did it right?

Answer 12

11.26/8(1.50)= n
now solve it

Answer 13

wouldn't it just be 11.26/12=n?

Answer 14

now divide them by the help of calculator

Answer 15

ok .938

Answer 16

\(11.26=8\times 1.05 \times n\\n=\dfrac{11.26}{8.4}\)

Answer 17

\(\cancel{=\dfrac{11.26}{12}}\)

Answer 18

average rate = f(b)-f(a)/b-a
here a =2 and b= 6
now put f(2)= 8(1.50)(2) = 24
f(6) = 8(1.50)(6)=72
according to the average rate formula
72-24/6-2
12 is the average rate of function from n=2 to n=6

Answer 19

ok, thank you :)

Answer 20

in the question it is

\(f(n) = 8(\color{green}{1.05})n\)

not

\(f(n) = 8(\color{red}{1.50})n\)

Answer 21

oh ok

Answer 22

sorry i did a small mistake can u correct it now

Answer 23

yeah i think

Answer 24

horsegirl, your function isn't right.
"n" is an exponent on that test, I remember back when i took it.

Answer 25

oh ok

Answer 26

can u help please?

Answer 27

For A, you need to figure out how many days it will take to reach 11.26cm, which just means make a table and plug in numbers until it works.
I'm only up in mod 7, which teacher do you have?

Answer 28

I'm actually in 6, but retaking this

Answer 29

well i go to lss, i have ms. estes