Given:
The function for the number of hours h to pack up a number of rooms r is
![h(r)=4r](https://img.qammunity.org/2021/formulas/mathematics/college/dwa62argftz5bx7z6kjhxmkeji6w8wj15i.png)
The function for the price c for the number of hours of packing h is
![c(h)=40h](https://img.qammunity.org/2021/formulas/mathematics/college/vlq3jjem5by53gk38g66g7zgtsb40v4ey3.png)
To find:
The function that gives the price c for a number of rooms r.
Solution:
From the function
, we get the number of hours to pack up a number of rooms r.
From the function
, 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
from function
.
![c(h(r))=40(4r)](https://img.qammunity.org/2021/formulas/mathematics/college/avmhmw1ql138jabiyno2npflt0ekc11us3.png)
![c(r)=160r](https://img.qammunity.org/2021/formulas/mathematics/college/7kkwix1xkjys7kihba7v0iuo213f8oji3i.png)
Therefore, the correct option is A.