A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f (n), in cm, after n days.

f (n) = 10 (1.02) ^n

Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function?

Part B: What does the y-intercept of the graph of the function f (n) represent?

Part C: What is the average rate of change of the function f (n) from n = 1 to n = 5 and what does it represent?

Question

Mathematics

America Sandoval

17 January, 16:03

A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f (n), in cm, after n days.

f (n) = 10 (1.02) ^n

Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function?

Part B: What does the y-intercept of the graph of the function f (n) represent?

Part C: What is the average rate of change of the function f (n) from n = 1 to n = 5 and what does it represent?

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Answers (1)

Know the Answer?

Jasmin Ibarra · Answer 1

A: The number of days (n)

B: Y represents the height of the plant. At day 0 or in other words, at the beginning of the experiment.

C: The rate of change is just what it says. The rate the height of the plant is changing. Since it is an average rate of change, it would be the average change per day over the length of the study.