1) The bank account started with $100, and increases at a rate of 4%. Write a 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) The bank account started with $100, and increases exponentially with a growth rate of 4%. Write a function to represent the situation. a) f(x) = 100(1.04)x b) f(x) = 100(e) 0.04x c) f(x) = 100(e)x d) f(x) = 2100(0.5)x e) f(x) = 100(0.96)x 3) A piece of land was purchased for $30,000 in 1960. The value of the land increased by 5% each year. Write a 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 4) An adult takes 400mg of ibuprofen. Each hour, the amount of ibuprofen in the person's system decreases by 29%. Write a 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 5) You buy a new computer for $2100. The computer's value decreases by half annually. Write a function to represent the given situation. a) f(x) = 100(0.5)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 6) You drink a coffee with 120mg of caffeine. Each hour, the caffeine in your system decreases by 12%. Write a 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 7) The half-life of Warfbrennian is 185 days. How long will it take to have only 15% left? a) 27.75 days b) 506.34 days c) 214.94 days d) 170 days e) 404.81 days 8) The half-life of Warfbrenian is 185 days. If you have a sample of 150 pounds of Warfbrenian, how much will be remaining after 35 days? a) 141.7 pounds b) 125 pounds c) 131.6 pounds d) 157.4 pounds e) 35 pounds
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Exponential Growth & Decay Warm-Up
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