The equation y = kx represents a proportional relationship between x and y, where k is the constant of proportionality. For a moving object, the equation d = st represents a proportional relationship between distance (d) and speed (s) or between distance (d) and time (t). Explain the different ways that you can define the constant of proportionality for this equation. Then describe some other equations that represent proportional relationships in the real world and explain why they're useful. Research on the Internet, if needed.

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Q: A line goes through the points (0,0) and (4,12). A. What is the constant of proportionality? B.…

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Q: A drink recipe calls for prine juice and carrot juice.This equation represents the proportional…

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Q: Which equations represent proportional relationships? (you may select multiple choices) O A. y= 3x –…

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Q: the weight (in pounds) w=f(d) of an object varies inversely as the square of its distance (in…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.