Ascientist 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)n1. starting from 0 days, plug x-values into our function to find out how many days it takes for the plant to grow to 11.04 cm2. write a compound inequality to show the reasonable domain of the plant growth: 3. what is the y-intercept of our function? 4. what does the y-intercept of the graph of the function f(n) represent? 5. what is the average rate of change formula for exponential growth functions? 6. plug and chug n= 1 to n = 5 into your formula above. show all work! 7. what does the average rate of change answer represent?

Step-by-step explanation:

Given that the  height of the plant f(n), in cm, after n days:

To find n when f(n) = 11.04 cm

i.e. in 2.5 days

2) n cannot go upto infinity

If maximum growth is h, then domain is (0, )

3) Put n=0

y intercept = 10 cm.

4) This gives the initial height of the plant i.e. when n =0

5) Average rate of change = 10(1.04)^n ln 1.04

6) n =1,2,3,4,5

n1      2               3        4                         5

f(n)10.410.81611.2486411.698585612.16652902

(this is got by substituting n =1,2,3,4,5.

7) Avg rate of change in interval (a,b) = change in f(n)/change in n

15% chance.

step-by-step explanation:

3/10 times, the 5 year old will get a tablet. 5/10 times, the 13 yer old will get a tablet. multiply both fractions to get 15/100 times, both would have a tablet.

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,