Question

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) = 7(1.06)d

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? (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 = 4 to d = 11, and what does it represent? (4 points)

Answer 1

Un dominio razonable para la función f(d) en el periodo de tiempo estudiado es:

Dominio de f(d) = d ∈ [0, 7]

Mientras que el intercepto con el eje f(d) ocurre en el valor 11 mm y representa el valor del radio del alga cuando se inició el experimento en el tiempo cero.

Explicación paso a paso:

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?

De acuerdo con la gráfica anexa y el significado de las variables involucradas, el dominio razonable para la función f(d) en el periodo de tiempo estudiado es: