Subjects algebra

Membership Costs B49Afa

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1. **State the problem:** We need to express the total yearly amount paid under two plans, A and B, as functions of the dollars of merchandise purchased, $x$. 2. **Plan A function:** The annual membership fee is 125 and you pay 30% of the merchandise price. So the total cost function is: $$f(x) = 125 + 0.30x$$ 3. **Plan B function:** The annual membership fee is 110 and you pay 40% of the merchandise price. So the total cost function is: $$g(x) = 110 + 0.40x$$ 4. **Explanation:** These are linear functions where the fixed membership fee is the constant term and the variable part depends on the percentage of the merchandise price. 5. **Summary:** - Plan A: $f(x) = 125 + 0.30x$ - Plan B: $g(x) = 110 + 0.40x$ These functions allow you to calculate the total yearly cost based on how much merchandise you buy.