Question 1179440
Here's how we can build the function-machine network and find the rule for M(b):

**Function-Machine Network**

1. **Input:** The input is the nonmember bowling cost (b).

2. **First Machine: Discount:** This machine calculates the discount amount. The rule for this machine is:

   Discount = 0.15 * b

3. **Second Machine: Discounted Cost:** This machine subtracts the discount from the original cost to get the final cost. The rule for this machine is:

   M(b) = b - Discount

**Combining the Machines**

We can combine the two machines into a single function:

M(b) = b - (0.15 * b)

Simplifying the expression:

M(b) = 0.85 * b

**Therefore, the rule for M(b) is M(b) = 0.85b.** This means Monica's discounted cost is 85% of the nonmember cost.