## anonymous one year ago 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? (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 = 3 to n = 10 and what does it represent? (4 points)

1. anonymous

Will Medal and Fan

2. amoodarya

do you mean ?$f(n) = 12(1.03)^n$

3. anonymous

4. amoodarya

|dw:1436903526840:dw|

5. anonymous

So how would I explain this is word form?

6. amoodarya

|dw:1436903579388:dw|

7. amoodarya

$f(n) = 12(1.03)^n=16.13\\(1.03)^n=\frac{16.13}{12}=1.344$

8. anonymous

M'kay I think I may be starting to get it but I'm not sure yet

9. amoodarya

now you can find n $(1.03)^n=1.344\\ \ln (1.03)^n= \ln 1.344\\n \ln 1.03 =\ln 1.344$

10. anonymous

tbh just looking at thAT MAKES ME FORGOT EVERYTHING xd

11. amoodarya

n=9.98 --->almost 10

12. anonymous

So the answer would be ten right?

13. amoodarya

yeah for part b it means first value of this plants

14. amoodarya

$part\\c\\\frac{f(10)-f(3)}{10-3}$

15. amoodarya

this is average of n=3 to 10

16. anonymous

Ok

17. anonymous

So the equation u typed before would be the answer?