Question 1179675
Here's how to solve this problem:

**1. Set up the Equations:**

* Let 'x' be the cost per minute for prime time.
* Let 'y' be the cost per minute for non-prime time.

We can create two equations based on the given information:

* Equation 1: 45x + 80y = 11.85
* Equation 2: 65x + 90y = 15.20

**2. Solve the System of Equations:**

We can use various methods to solve this, such as substitution or elimination. Here, I'll use elimination:

* Multiply Equation 1 by 9: 405x + 720y = 106.65
* Multiply Equation 2 by 8: 520x + 720y = 121.60

* Subtract the first modified equation from the second:
    * (520x - 405x) + (720y - 720y) = 121.60 - 106.65
    * 115x = 14.95

* Solve for x:
    * x = 14.95 / 115
    * x = 0.13

**3. Find the Value of y (optional):**

* Substitute x = 0.13 into Equation 1:
    * 45(0.13) + 80y = 11.85
    * 5.85 + 80y = 11.85
    * 80y = 6
    * y = 6 / 80
    * y = 0.075

**Answer:**

The cost per minute for using the financial news network during prime time is $0.13.