Question

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) = 15(1.04)n. . Part A: When the scientist concluded his study, the height of the plant was approximately 20.53 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?

Answer 1

We are given an equation  f(n) = 15(1.04)^n where f(n) is the plant height in cm and n is the number of days since the day planted. The domain of the plant is a set including 0 to positive infinity. The y-intercept of the graph is when n = 0 or equal to 15. when n is 1, f(n) is equal to 15.6 . when n is 5, f(n) is equal to 18.25. the rate of change is (18.25-15.6)/(5-1) equal to 0.66