Using the algebraic rules for exponential functions , figure out what should happen in the following growth functions analytically. Experiment with these functions by numerically changing the base and exponent using the worksheets below. This yields the following relationship between T and A .
Time is measured in minutes.
Solving for T reveals that the temperature depends upon time as an exponential function. Let P denote the money in the account at time t . Solve the following equation for t . You should see that the investment doubles every 7 years or so. The exact answer requires the solution of the above equation for t , which can be obtained using logarithms .