Tutorial on Exponential Functions (2) - Problems
This is a tutorial on how to apply exponential functions to solve problems. Examples with detailled solutions and explanations are included.
Example - Problem 1The populations of 2 cities grow according to the exponential functionswhere P1 and P2 are the populations (in thousands) of cities A and B respectively. t is the time in years such that t is positive and t = 0 corresponds to the year 2004. When will the populations of the two cities be equal and what will be their populations? Solution to Problem 1:
Matched Problem 1The populations of 2 cities grow according to the exponential functionswhere P1 and P2 are the populations (in thousands) of cities A and B respectively. t is the time in years such that t is positive and t = 0 corresponds to the year 2004. When will the populations of the two cities be equal and what will be their populations?
Example Problem 2The amount A of a radioactive substance decays according to the exponential functionwhere A_{0} is the initial amount (at t = 0) and t is the time in days (t >= 0). Find r, assuming that the half life of this radioactive substance is 10 days. Solution to Problem 2:
Matched Problem 2The amount A of a radioactive substance decays according to the exponential functionwhere A_{0} is the initial amount (at t = 0) and t is the time in days (t >= 0). Find r, assuming that the half life of this radioactive substance is 20 days. More References and Links Related to Exponential FunctionsExponential and Logarithmic Functions.Exponential Functions. Tutorial on Exponential and Logarithmic Equations. Solve Exponential and Logarithmic Equations (self test). |