Exponential Growth & Decay

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Exponential Growth and Decay

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Presentation transcript:

Exponential Growth & Decay

Objectives Determine the multiplier for exponential growth and decay. Write and evaluate exponential expressions to model growth and decay situations.

An exponential expression has a fixed base and a variable exponent. ex: 3n The base is referred to as the multiplier.

Find the multiplier for each rate of exponential growth or decay. 1. 5.5% growth 2. 0.25% growth

Find the multiplier for each rate of exponential growth or decay. 3. 3% decay 4. 0.5% decay

Given x = 5, y = and z = 3.3, evaluate and round to nearest tenth. 1. 3y 2. 50(2)3x 3. 10(2)z+2 4. 25(2)y

Predict population of bacteria for each situation & time period. 1. 125 bacteria that double every hour (a) after 6 hours (b) after 8 hours

Predict population of bacteria for each situation & time period. 2. 75 bacteria that double every 30 minutes (a) after 2 hours (b) after 3 hours

HOMEWORK Page 358 16 – 42 (even)