Question

Question 1

A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:

f(d) = 11(1.01)d

Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. 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(d) represent? (2 points)

Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent?

Answer 1

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a Bhai itna bara que kyu dayta ho

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Answer from: Irenesmarie8493

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we are given the function of growth:

f (d) = 11 (1.01)^d

or

r = 11 (1.01)^d

where r is the radius of the algae and d is the number of days

part a. find the domain to plot the function:

we can set-up to restrictions in the function, these are:

d = 0 (at time zero before the growth occurs, let us call this d1)

r = 11.79 (the radius of algae at the end of the study, let us call this r2)

so we have the initial domains:

(r1, 0) and (11.79, d2)