Abiologist 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?

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]

sorry, i'm new here and i'm just trying to figure this out. try quizlet. rate 5* you!