1) The bank account started with $100, and increases at a rate of 4%. Write an exponential function to represent the situation. a) f(x) = 100(1.04)x b) f(x) = 4(100)x c) f(x) = 400(0.71)x d) f(x) = 2100(0.5)x e) f(x) = 100(0.96)x 2) A piece of land was purchased for $30,000 in 1960. The value of the land increased by 5% each year. Write an exponential function to represent the situation.  a) f(x) = 100(1.04)x b) f(x) = 30,000(1.05)x c) f(x) = 30,000(0.95)x d) f(x) = 5(30,000)x e) f(x) = 120(0.88)x 3) An adult takes 400mg of ibuprofen. Each hour, the amount of ibuprofen in the person's system decreases by 29%. Write an exponential function to represent the given situation.  a) f(x) = 29(400)x b) f(x) = 400(1.29)x c) f(x) = 400(0.71)x d) f(x) = 2100(0.5)x e) f(x) = 120(0.88)x 4) You buy a new computer for $2100. The computer's value decreases by 50% annually. Write an exponential function to represent the given situation. a) f(x) = 100(1.04)x b) f(x) = 2100(1.5)x c) f(x) = 50(2100)x d) f(x) = 2100(0.5)x e) f(x) = 120(0.88)x 5) You drink a coffee with 120mg of caffeine. Each hour, the caffeine in your system decreases by 12%. Write an exponential function to represent the given situation.  a) f(x) = 100(1.04)x b) f(x) = 120(1.12)x c) f(x) = 12(120)x d) f(x) = 2100(0.5)x e) f(x) = 120(0.88)x

Exponential Growth & Decay Warm-Up

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