Matching Differential Equation Descriptions to Equations

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CCSS.HSF.LE.A.2

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A lump of radioactive material has a mass of X(t). Its mass slowly decays over time. What is its differential equation?

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There are some live bacteria X(t) in a jar. Some bacteria are attacked by a medicine and die. Once dead, the medicine moves on to another target. During this process, the rest of the bacteria eat and replicate. What is the differential equation for this?

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Water is pumped from a lake at a constant rate. The volume of water in the lake is X(t). What is the differential equation for this?

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