Please help with this question ive been asking for half an hourrrr answer asap pls Ill mark brainlist

Question

Please help with this question ive been asking for half an hourrrr

answer asap pls

Ill mark brainlist

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)

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bonexptip 4 years 2021-08-15T22:31:00+00:00 1 Answers 15 views 0

Answers ( )

  1. thugiang
    0
    2021-08-15T22:32:14+00:00
    Reply

    Answer:

    Step-by-step explanation:

    11.04 = 10(1.02)^n

    1.104 = 1.02^n

    ln 1.104 = ln 1.02^n

    ln 1.104 = n ln 1.02

    n = ln 1.104/ ln 1.02

    n = 4.99630409516

    4.99 can be rounded to 5.

    So a reasonable domain would be 0 ≤ x < 5

    PART B)

    f(0) = 10(1.02)^0

    f(0) = 10(1)

    f(0) = 10

    The y-intercept represents the height of the plant when they began the experiment.

    f(1) = 10(1.02)^1

    f(1) = 10(1.02)

    f(1) = 10.2

    (1, 10.2)


    f(5) = 10(1.02)^5

    f(5) = 10(1.1040808)

    f(5) = 11.040808

    f(1)=10(1.02)^1

    f(1)=10.2

    Average rate= (fn2-fn1)/(n2-n1)

                         =11.04-10.2/(5-1)

                        =0.22

    the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.  

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