Worksheet titled "Exponential Growth and Decay Word Problems" featuring four math problems related to real-world applications of exponential functions.

Exponential Growth and Decay Word Problems worksheet with four questions involving population growth, computer depreciation, animal population decline, and value changes of a car and baseball card.

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Show Answer Key & Explanations Step-by-step solution for: 20 Exponential Growth and Decay Word Problems | PDF

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1. a. The growth factor is 1 + 0.0126 = 1.0126.
b. P(x) = 6.08 * (1.0126)^x, where P(x) is the population in billions and x is years since 2000.
c. For 2010, x = 10. P(10) = 6.08 * (1.0126)^10 ≈ 6.89 billion.

2. a. V(t) = 6500 * (1 - 0.143)^t = 6500 * (0.857)^t, where V(t) is value in dollars and t is years.
b. After three years, V(3) = 6500 * (0.857)^3 ≈ $4073.39.

3. a. P(t) = 80 * (1 - 0.035)^t = 80 * (0.965)^t, where P(t) is population and t is years.
b. Graphing P(t) = 80 * (0.965)^t shows it drops below 15 between t=48 and t=49. Estimating, it first drops below 15 after approximately 48.5 years.

4. a. V(t) = 12500 * (1 - 0.09)^t = 12500 * (0.91)^t. After five years, V(5) = 12500 * (0.91)^5 ≈ $7805.72.
b. V(t) = 50 * (1 + 0.03)^t = 50 * (1.03)^t. After five years, V(5) = 50 * (1.03)^5 ≈ $57.96.

Parent Tip: Review the logic above to help your child master the concept of exponential growth and decay word problems worksheet answer key.

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