anonymous
  • anonymous
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) = 10(1.02)n Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 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 = 1 to n = 5, and what does it represent? (4 points)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
@Hero
anonymous
  • anonymous
@satellite73 @
anonymous
  • anonymous
Plz help!

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
@ParthKohli
XhawaiiangirlX
  • XhawaiiangirlX
A. 0 thru 5 (integers) ... (look at part C) B. the starting height of the plant C. f(1) = 10.02 .... f(5) = 11.041 m(ave) = (11.041 - 10.02) / (5 - 1) = 0.255 cm/day this represents the average change of height each day for this time.
anonymous
  • anonymous
Can I get the explanations please?
MrNood
  • MrNood
For the firat part you need toknow what reasonable values of n will be plotted on the chart you know that at the end of the trial (i.e after n days) the height is 11.04cm but also that this is 10(1.02)^n so use logs to find n
anonymous
  • anonymous
ok, im confused
MrNood
  • MrNood
the trial lasts n days after n days the height is 11.04cm but height = 10(1.02)^n so 11.04 = 10 (1.02)^n use the propoerties of logs and exponents to find n
anonymous
  • anonymous
oh ok, so n = 5?
MrNood
  • MrNood
did oyu use the properties of logs and exponents to get that? show yourwork?
anonymous
  • anonymous
Ok so, 11.04 = 10(1.02)^n 10(1.02)^n = 11.04 10(1.02)^n/10 = 11.04/10 1.02^n = 1.104 log(1.02)^n = log(1.104) n*(log(1.02)) = log(1.104) n = log(1.104)/(log(1.02) n = 4.99 (round to 5)
anonymous
  • anonymous
ok....
MrNood
  • MrNood
OK well done now second part the y intercept is when n=0 what does that value mean?
anonymous
  • anonymous
It represents the starting population. right?
MrNood
  • MrNood
not the population - since we are measuring height (but I think you've got the right idea) (this exponential function of DOES represent populations! :-)
anonymous
  • anonymous
Ok so that's part b?
MrNood
  • MrNood
so wht IS the staring height (it doesnt ask oyu that - but you maybe would lik eot know?)
anonymous
  • anonymous
Um... .21 cm?
MrNood
  • MrNood
no - put n= 0 into the equation for height....
anonymous
  • anonymous
Ok... But the answer cant be true...
MrNood
  • MrNood
You should also get into th ehabit of doing a 'sanity check' on oyur answers If it is 11cm after 5 days it cannot be 21cm at start. And the answer CAN be true what is 1.02^0??
anonymous
  • anonymous
1!
MrNood
  • MrNood
so 10* (1.02)^0 is??
anonymous
  • anonymous
10
anonymous
  • anonymous
Im srry, I thought you meant to do the whole equation with 11.04=10(1.02)^0
MrNood
  • MrNood
good so it starts at 10cm and grows to 11.04 in 5 days the 3rd part says find change of height over 4 days and divide by 4 days so what does that give you? |dw:1450275030107:dw|
anonymous
  • anonymous
10 cm or 10 in?
MrNood
  • MrNood
there are no inches mentione in this question!
anonymous
  • anonymous
so 10 cm
MrNood
  • MrNood
what is the height when n=1?
MrNood
  • MrNood
|dw:1450275406996:dw|

Looking for something else?

Not the answer you are looking for? Search for more explanations.