A. The lengths of the flower petals corresponding to the weeks 0, 1, 2, 3, 4, and 5 are 0, 3.09, 6.18, 9.27, 12.36, and 15.45, respectively.
B. The average rate of change of the function f(w) from week two to week five is 3.09.
C. The y-intercept of the function f(w) represents the initial length of the petal.
D. The reasonable domain to plot the growth function is week 0 to week 2.
The length of the flower petal and the weeks passed are denoted by f(w) and w. The equation of the function is given below.
f(w) = 3(1.03)w
The simplified function is f(w) = 3.09w.
The rate of change of the function from weeks 2 to 5 is calculated below.
R = [f(5) - f(2)]/(5 - 2)
R = [3.09*5 - 3.09*2]/3
R = 3.09*(5 - 2)/3
R = 3.09
The length of the flower petal at the end of the study was 3.48 cm. The length lies between the week 0 and the week 2.
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