Question

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. (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 30 weeks. (4 points)

Answer 1

A function is said to be a composite function when a function is written in another function. The composite function that represents the number of flowers is f(w)=50w+25 and the number of flowers for 30 weeks is 1525.

Given that:

f(s)=2s+25

s(w)=25w

The number of flowers to bloom over w weeks is calculated using the following composite function: f(w)

f(s)=2s+25

Replace s with s(w)

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

Substitute (w)=25w

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

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

Hence:

f(w)=50w+25

The units of the measurement of f(w) are flowers

The number of flowers for 30 weeks means:

w=30

So, we have:

f(w)=50w+25

f(30)=50 * 30+25

f(30)=1525

Hence, the number of flowers for 30 weeks is 1525

Learn more about composite functions here:brainly.com/question/10687170

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