Disclaimer: The material in the videos below comes mainly from outside City Tech. The presentation in these videos may differ from the one given in your class. Please consult with your instructor to confirm whether a particular approach is acceptable in your class.
- $\rhd$ Exponential decay intro (8:11) A discussion on exponential growth and decay using $y=3\cdot (2)^x$ and $y=3\cdot \left(\dfrac{1}{2}\right)^x$.
- * Practice Recognizing exponential growth vs decay. (4 problems)
- $\rhd$ Graphing exponential growth and decay (4:05) Graphing $h(x)=27\cdot \left(\dfrac{1}{3}\right)^x$ and $g(x) = -30\cdot 2^x$.
- * Practice Graphing exponential growth and decay. (4 problems)
- $\rhd$ Exponential population growth (13:08) Growths of a population. Find the population in a specified number of years. Find the time until half of the population is left.
- $\rhd$ Exponential growth & decay word problems (7:21)
- Suppose a radioactive substance decays at a rate of $3.5\%$ per hour. What percent of the substance is left is left after 6 hours?
- Nadia owns a chain of fast food restaurants that operated 200 stores in 1999. If the rate of increase is annually, how many stores does the restaurant operate in 2007?
