1. **State the problem:** We need to express the total yearly amount paid under Plan A as a function of the dollars of merchandise purchased, $x$.
2. **Identify the components of Plan A:**
- Annual membership fee: 125
- Percentage of list price paid: 30% or 0.30
3. **Write the formula:**
The total cost $f(x)$ is the sum of the membership fee and 30% of the merchandise cost:
$$f(x) = 125 + 0.30x$$
4. **Explanation:**
- The membership fee is a fixed cost, so it is added directly.
- The merchandise cost is multiplied by 0.30 because you pay 30% of the list price.
5. **Final answer:**
$$f(x) = 125 + 0.30x$$
This function gives the total yearly amount paid under Plan A based on the amount $x$ spent on merchandise.
Plan A Cost 615A68
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