Answer
A) f(w) = 80w + 30
B) w represents the number of weeks and f(w) the number of flowers that bloomed
C) 2830 flowers
Step-by-step explanation
A) To find the function f, which represents the number of flowers that bloomed, as a function of w, the number of weeks, we have to evaluate f(s) with s = s(w) = 40w, as follows:
[tex]\begin{gathered} f(s)=2s+30 \\ \text{ Substituting }s=s(w), \\ f(s(w))=2s(w)+30 \\ \text{ Substituting }s(w)=40w \\ f(s(w))=2\cdot40w+30 \\ f(w)=80w+30 \end{gathered}[/tex]
B) w represents the number of weeks and f(w) the number of flowers that bloomed, like before.
C) Substituting w = 35 weeks into f(w), we get:
[tex]\begin{gathered} f(w)=80(35)+30 \\ f(w)=2800+30 \\ f(w)=2830\text{ flowers} \end{gathered}[/tex]
