1. A sample of the paint used in a cave painting in France is found to have lost 82% of its original carbon-14. Solving this equation approximates the number of years ago the painting was made. The painting was made about 14,000 years ago.

2. A cup of coffee contains approximately 96 mg of caffeine. When you drink the coffee, the caffeine is absorbed into the bloodstream and is eventually metabolized by the body. The equation below predicts the hours it takes for the amount of caffeine to be reduced to 12 mg? A little under 15 hours.

3. At 5% interest compounded continuously the equation below finds how long it will take for $20,000 to become $100,000. About 32 years

4. The profit (loss) an orchestra makes (in $10,000) can be approximated by their lowest ticket price. The equation below predicts the price which will earn a profit of $400,000. When their lowest ticket price is a little over $7 their profit will be approximately $400,000.

5. Since 1985 the pounds of beef consumed per person per year in the United States has been decreasing. The equation below gives the first year per person consumption will drop to 60 pounds per person per year. (You have to add your answer to 1985 to get the year.) Around 2015

6. A rumor is spreading across a campus with 1,500 students. Solving the equation below will approximate the number of students who have heard the rumor after 3 days. Around 555 students.