Exponential Growth and Decay

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Exponential Growth and Decay

Write an exponential function to model the situation and find the value of the function for the given amount of time.

1. The cost of tuition of a college is $15,000 and is increasing at a rate of 8% per year; 4 years.

2. The value of a car is $18,000 and is depreciating at a rate of 12% per year; 10 years.

3. The amount (to the nearest hundredth) of a 10-mg dose of a certain antibiotic decreases in your bloodstream at a rate of 16% per hour; 4 hours.

4. The number of student-athletes at a high school is 300 and is increasing at a rate of 7.5% per year; 5 years.

5. Bismuth-214 has a half-life of approximately 20 minutes. Find the amount of Bismuth-214 left from a 30 gram sample after 1 hour.

6. Annual sales for a company are $149,000 and are increasing at a rate of 6% per year; 7 years.

7. The population of a small town is 1,600 and is increasing at a rate of 3.4% per year; 10 years.

8. Mendelevium-258 has a half-life of approximately 52 days. Find the amount of Mendelevium-258 left from a 44 gram sample after 156 days.

9. Membership of a local club grows at a rate of 7.8% every 6 months and currently has 30 members; 3 years.

10. The population of a town is 21,000 and is decreasing at a rate of 2.5% per year; 6 years.

11. The value of a book is $58 and decreases at a rate of 10% per year; 8 years.

12. An antique car is worth $42,000 and its value grows by 2.5% per year; 20 years.
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