Iris is a botanist who works for a garden that many tourists visit. The function f(s) = 2s + 25 represents the number of flowers that bloomed, where s is the number of seeds she planted. The function s(w) = 25w 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 Iris can expect to bloom over a certain number of weeks.
Part B: What are the units of measurement for the composite function in Part A?
Part C: Evaluate the composite function in Part A for 30 weeks.

(a)f(w)=50w+25

(b)Number of flowers for a given number of weeks

(c)f(30)=1525 flowers

Step-by-step explanation:

Number of flowers that bloomed, f(s) = 2s + 25, s=Number of seeds planted

Number of seeds planted per week, s(w) = 25w, w=Number of weeks

Part A

f(s) = 2s + 25

Substituting s(w) = 25w into f(s)

f(s(w))=2(25w) + 25=50w+25

The composite function is: f(w)=50w+25

Part B

The unit of measurement of the composite function above is Number of flowers that bloomed for a given number of weeks.

Part C

If w=30 weeks

Then from the function, f(w)=50w+25

f(30)=50(30)+25=1500+25=1525 flowers

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step-by-step explanation:

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.