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Superman2934
15.12.2019 •
Biology
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) = 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?
part b: what does the y-intercept of the graph of the function f(n) represent?
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?
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Ответ:
11.26 cm = 8(1.05)^n
The value of n is 7. Thus, the domain of the function is from 0 to 7.
Part B: The y -intercept is obtained by substituting 0 to the variable n. Thus, the answer is 8.
Part C: By substituting the values of n to the equation the values of f(n) are 8.82, 9.261, 9.72, 10.21,10.72. The average is 9.75. This is the average length of the plant for days 2 to 6.
Ответ: