Question

Daisy is a botanist who works for a garden that many tourists visit. The function f(s) = 3s + 35 represents the number of flowers that bloomed, where s is the number of seeds she planted. The function s(w) = 15w represents the number of seeds she plants per week, where w represents the number of weeks.
Part A: Write a composite function that represents how many flowers Daisy can expect to bloom over a certain number of weeks. (4 points)

Part B: What are the units of measurement for the composite function in Part A? (2 points)

Part C: Evaluate the composite function in Part A for 36 weeks. (4 points)

Answer 1

Part A)

F(s) = 3s + 35 is the number of flowers

S(w) = 15w is the number of seeds planted

Since s = 15w, replace s in the first equation with 15w and simplify:

F(s) = 3(15w) + 35

F(s) = 45w + 35

B)

The composited equation calculates the number of flowers That bloomed.

C) replace w with 36 and solve.

45(w) + 35 = 45(36)+35 = 1620 + 35 = 1,655 flowers bloomed in 36 weeks.