This math topic focuses on solving for time in continuous decay scenarios using exponential functions. Skills practiced include: 1. Understanding and applying the exponential decay model in the form of \( P(t) = P_0 \times e^{rt} \), where \( P(t) \) represents the quantity at time \( t \), \( P_0 \) is the initial quantity, \( r \) is the rate of decay, and \( e \) is the base of the natural logarithm. 2. Calculating the time required for a population or quantity, like whale populations, radioactive isotopes, or bacteria, to decrease from an initial value to a lower value at a given continuous decay rate. 3. Manipulating algebraic and logarithmic expressions to isolate and solve for the variable of interest, which is time in these problems.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
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