The Veldt Questions 7-8-9
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Ответ:
A) The reasonalbe domain to plot the graph is 0 ≤ d ≤ 11 (days)
B) The y-intercept of the graph of the function f(d) represents the radius of the algae when the biologist started her study
C) The average rate from d = 4 to d = 11 is:
It represents that the radius of the algae increased an average of 0.6358mm per day from the fourth day until the last day of her study.Explanation:
Start writting the equation properly
Where f(d) is in mm, and d is number of days.
Part A: When the biologist concluded her study, the radius of the algae was approximately 13.29 mm. What is a reasonable domain to plot the growth function?
The domain should be the whole numbers since the moment the study starts (d = 0) up to the moment the biologist concluded her study.
To determine the number of days elapsed, you solve the equation for d and find it when f(d) is 13.29mm
Therefore, the domain is 0 ≤ d ≤ 11 (days)
Part B: What does the y-intercept of the graph of the function f(d) represent?
The y-intercept of a function is the value of the function for which its graph intercepts the vertical axis.
That happens when the independent variable, d in this case, is equal to zero: f(0).
d = 0 represents the moment when the biologist started her study, meaning that f(0) is the radius of the algae when the study started
To find the y-intercept you make d = 0 in the equation and fin find f(0)
That is:
Then, the y-intercept, the radius of the algae when the biologist started her study, is 7 mm.
Part C: What is the average rate of change of the function f(d) from d = 4 to d = 11, and what does it represent?
The average rate of change of the function f(d) from d = 4 to d = 11 is:
That means that the radius of the algae increased an average of 0.6358mm per day from the fourth day until the last day of the study.