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Math 108 4.2 Worksheet 7. Fill in the table below to gain fluency in translating between word descriptions, algebraic formulas, and behavior of proportional/inversely proportional

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Math 108 4.2 Worksheet 7. Fill in the table below to gain fluency in translating between word descriptions, algebraic formulas, and behavior of proportional/inversely proportional functions: Statement Corresponding Is the function Interpret the power function increasing or behavior of the decreasing? output as the input increases: The time, t, that it takes to As the speed bike a fixed distance is increases .... inversely proportional to the speed, r, of the cyclist. Increasing As the temperature of b) The volume of a fixed amount the gas increases, of gas, V, is [you pick: directly or inversely?] proportional to the volume of the gas the temperature of the gas, T. increases. As the distance away c) The intensity (brightness), I, from the light of a light is inversely proportional to the square of increases .... the distance, d, away from the light. d) [Here you don't need to make As t increases..... p= up life context; just use the VE variables] e) [Here you don't need to make w = k( vm) As m increases.... up life context; just use the variables]

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