SOLUTION: In Exercises 1 - 3, Monica is at a bowling center. By becoming a member for $30, she gets a 15% discount on her bowling cost. Build a function-machine network using the nonme

Question 1179440: In Exercises 1 - 3, Monica is at a bowling center. By becoming a member for
$30, she gets a 15% discount on her bowling cost.
Build a function-machine network using the nonmember bowling cost as
the input. The output is Monica’s bowling cost with membership.
Suppose b is the cost of one night’s bowling for nonmembers. Find a rule
for M(b), Monica’s discounted cost. Do not include the membership fee.
Found 2 solutions by CPhill, ikleyn:
Answer by CPhill(1987)   (Show Source): You can put this solution on YOUR website!
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.
Answer by ikleyn(52847)   (Show Source): You can put this solution on YOUR website!
.

How this problem is worded in the post, it teaches us
HOW TO turn a simple problem into a a complicated assignment.

In other words, it teaches us oppositely to the normal direction,
in which right teaching should work, making complicated things simple.

        My condolences to you for having such a teacher.

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