To determine the constant of proportionality and the corresponding point that represents it, we can follow the process you've outlined. Here are some examples based on the format you've provided:
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Eggs used per batch of cookies: Let's say after analyzing a graph or data, we find that there are 2 eggs used per batch. Therefore, the constant of proportionality is 2, and the corresponding point that represents this constant is (1, 2).
Answer: The constant of proportionality is 2 eggs used per batch of cookies, and the point that represents the constant of proportionality is (1, 2).
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Dollars per peach: If each peach costs $0.75, the constant of proportionality is 0.75, and the corresponding point is (1, 0.75).
Answer: The constant of proportionality is 0.75 per peach, and the point that represents the constant of proportionality is (1, 0.75).
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Markers per package: Assume that there are 5 markers in each package; thus, the constant of proportionality is 5, represented by the point (1, 5).
Answer: The constant of proportionality is 5 markers per package, and the point that represents the constant of proportionality is (1, 5).
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Blue beads per red bead: Suppose the constant of proportionality is 3 blue beads for every red bead. In fractional terms, this would be expressed as \( \frac{3}{1} \) (3 blue beads per red bead), and the corresponding point is (1, 3).
Answer: The constant of proportionality is 3 blue beads per red bead, and the point that represents the constant of proportionality is (1, \frac{3}{1}).
Feel free to replace the values with those specific to your scenario or to adjust these examples based on the specific graphs or data you have!