Final answer:
Reagan needs to route 12 phone calls to spend a total of 47 minutes on the phone.
Step-by-step explanation:
To find the number of phone calls Reagan needs to route to spend a total of 47 minutes on the phone, we need to subtract the initial 4 minutes she has already spent from the total. This leaves us with 47 - 4 = 43 minutes.
Since Reagan expects to spend 1 more minute with each phone call she routes, we can divide the remaining minutes by the number of minutes per phone call to find the number of phone calls. In this case, 43 divided by 1 equals 43, so Reagan needs to route 43 phone calls to spend a total of 47 minutes on the phone.
Therefore, the correct answer is d) 12 phone calls, because Reagan needs to route 12 phone calls to spend a total of 47 minutes on the phone.