The relationship between the number of cookies made c and the total time in hours t can be represented by the following equations:
c = 4t (since Olivia can make 12 cookies in 3 hours, she can make 4 cookies in 1 hour, so the number of cookies made c is directly proportional to the total time t)
t = c/4 (since Olivia can make 4 cookies in 1 hour, the total time t is directly proportional to the number of cookies made c)