Question

Lily is a botanist who works for a garden that many tourists visit. The function f(s) = 2s + 30 represents the number of flowers that bloomed, where s is the number of seeds she planted. The function s(w) = 40w 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 Lily 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 35 weeks. (4 points)

Answer 1

Please help! I'm really stuck.

Answer 2

This is not a multiple choice question. it is asking for three separate parts with three different solutions.

Answer 3

anyway, quick review: a composite function is a function where the output of one function is used as the input for another function

for part A) The function f(s) = 2s + 30 gives you the number of flowers, f, for s seeds
The function s(w) = 40w gives you the seeds s per weeks w

therefore, since s = 40w, you can plug this into f(s) to get the composite function f(w), which gives you flowers in terms of weeks. plug s = 40w into f(s) = 2s + 30 to get the composite function.

part B) like I mentioned before, this new composite function f(w) gives you flowers in terms of weeks

part C) plug in w = 35 into the function from part A)

Answer 4

Thank you so much! I truly appreciate it! You really helped! I've been stuck for 8hrs.