Given:
The function for the number of hours h to pack up a number of rooms r is
[tex]h(r)=4r[/tex]
The function for the price c for the number of hours of packing h is
[tex]c(h)=40h[/tex]
To find:
The function that gives the price c for a number of rooms r.
Solution:
From the function [tex]h(r)=4r[/tex], we get the number of hours to pack up a number of rooms r.
From the function [tex]c(h)=40h[/tex], we get the price for the number of hours of packing h.
Now, to find the price for number of rooms r, substitute the value of h in [tex]c(h)=40h[/tex] from function [tex]h(r)=4r[/tex].
[tex]c(h(r))=40(4r)[/tex]
[tex]c(r)=160r[/tex]
Therefore, the correct option is A.