Worksheet: Exponential Decay
In this worksheet, we will practice identifying the graph of exponential decay and solving real-world problems including exponential decay.
Which graph demonstrates exponential decay?
A child’s ball loses of its energy every time it rebounds. By considering that the ball’s kinetic energy is proportional to the height from which it was dropped, determine the height, to the nearest centimeter, that the ball must be dropped from so that it rebounds to 20 cm on the fifth bounce.
- A 5 cm
- B 84 cm
- C 27 cm
- D 45 cm
- E 22 cm
The value of shares in a failing company is falling by one quarter every week. Today’s value of an investment in the company is . Write an equation that can be used to find , the value of the investment in dollars in days’ time.
A poor-performing fund loses value at an annual rate of . Unfortunately, one of the conditions of the fund is that investments cannot be withdrawn before a minimum of 10 years without incurring a large penalty.
If was invested, what would its value after the minimum term be? Give your answer to the nearest dollar.