Subjects algebra

Fish Combinations 60Dd53

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1. **Problem statement:** We are given combinations of pounds of tilapia and salmon that a market can order. We want to find five different combinations, define variables and an equation relating the amounts and cost, and plot these combinations on a graph. 2. **Variables and equation:** Let $x$ = pounds of tilapia Let $y$ = pounds of salmon Assuming the market spends a total amount $S$ on fish, and the prices per pound are $p_t$ for tilapia and $p_s$ for salmon, the relationship is: $$S = p_t x + p_s y$$ 3. **Five different combinations:** From the table, five combinations (x, y) are: - A: (5, 36) - B: (19, 30.6) - C: (27, 25) - D: (25, 27) - E: (65, 6) 4. **Graphing:** - Horizontal axis ($x$): pounds of tilapia - Vertical axis ($y$): pounds of salmon Plot points A through F: - A (5, 36) - B (19, 30.6) - C (27, 25) - D (25, 27) - E (65, 6) - F (55, 4) Each point represents a combination of tilapia and salmon pounds. Since prices are not given, the exact spending equation cannot be numerically specified, but the general form is $S = p_t x + p_s y$. This completes the solution for the first question.