

Exponential Growth and Decay Formulas
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Mathematics
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Hard
Shane Rueckl
Used 3+ times
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Steps for Exponential Problem Solving
1: Decide if the problem is describing exponential growth or decay. ("increase" = growth, "decrease" = decay)
2: Convert the growth or decay percentage to a decimal. This decimal is your r value. Ex: 23% = .23 and 5% = .05
3: Write your exponential equation. a is your starting value.
GROWTH: y = a(1 + r)^x
DECAY: y = a(1 - r)^x
4: Use the equation to solve the problem. Remember that x is input and y is output.
Steps for Exponential Problem Solving
1: Decide if the problem is describing exponential growth or decay. ("increase" = growth, "decrease" = decay)
2: Convert the growth or decay percentage to a decimal. This decimal is your r value. Ex: 23% = .23 and 5% = .05
3: Write your exponential equation. a is your starting value.
GROWTH: y = a(1 + r)^x
DECAY: y = a(1 - r)^x
4: Use the equation to solve the problem. Remember that x is input and y is output.
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