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) = 9(1.04)d
When the biologist concluded her study, the radius of the algae was approximately 12.81 mm. What is a reasonable domain to plot the growth function?
1 answer:
Answer:
The reasonable domain to plot the growth function is the interval [0,9]
Step-by-step explanation:
In this problem we have a exponential function of the form
where
f(d) is the radius of the algae in mm
d is the number of days
a is the initial value or y-intercept
b is the base
r is the rate of growth
b=1+r
we have
we have
For f(d)=12.81 mm
substitute in the function and solve for d
Apply log both sides
therefore
The reasonable domain to plot the growth function is the interval [0,9]
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