Writing Exponential Equations – Flashcards

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question
This is a decay function, decreasing at a rate of 30%
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Is the following an exponential decay or growth function, and give the rate: y= 25(0.70)ⁿ
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This is a decay function, decreasing at a rate of 70%
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Is the following an exponential decay or growth function, and give the rate: y= 25(0.30)ⁿ
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This is a growth function, increasing at a rate of 30%
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Is the following an exponential decay or growth function, and give the rate: y= 0.99(1.3)ⁿ
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This is a growth function, increasing at a rate of 85%
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Is the following an exponential decay or growth function, and give the rate: y= 130(1.85)ⁿ
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y= 357(0.98)ⁿ
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Write an equation to model the following: A scientist is monitoring the population of sparrows in the area. There are initially 357, but the population is decreasing 2 percent per year.
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y= 357(1.3)ⁿ
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Write an equation to model the following: Tony's dad deposited 357 dollars into a savings account, that earns 3% every year.
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y= 75(1.003)ⁿ
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Write an equation to model the following: Katie is saving money for a car, and recently started a savings account. Her parents opened the account with a 75 dollar deposit, and she is collecting 0.3% interest.
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y= 75(0.97)ⁿ
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Write an equation to model the following: Bashar has a savings account, and recently started withdrawing 3% from the balance. His parents opened the account with a 75 dollar deposit.
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y= 1(7)ⁿ
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Given the following table, write the exponential equation: x:{ 0, 1, 2, 3, 4} y:{ 1, 7, 49, 343, 2401}
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y= 5(2)ⁿ
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Given the following table, generate the equation: x:{ 0, 1, 2, 3, 4} y:{ 5, 10, 20, 40, 80}
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y=1,250(1.08)ⁿ
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Write an equation to model the following: A painting is sold for $1,250 and its value increases by 8% every year after it is sold.
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y=24,580(0.81)ⁿ
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Write an equation to model the following: A car is sold for $24,580 and its value decreases by 19% every year after it is sold.
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y=24,580(1.28)ⁿ
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Write an equation to model the following: A classic car was sold at $24,580 and its value will increase by 28% every year after it is sold.
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y=1,250(0.88)ⁿ
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Write an equation to model the following: A new flat screen tv was sold for $1,250 and its value will decrease by 12% every year after it is sold.
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