Modeling Exponential Functions

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Rhonda deposited $3000 in an account in the Merrick National Bank, earning 4.2% interest, compounded annually. Write an equation to find B, her account balance after t years.

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B(t) = 3000(1 + 0.042)^t

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Equation for doll's value increasing by 2.5% annually from $450.

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V(t) = (1 + 0.025)^t

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A car was purchased for $25,000. Research shows that the car has an average yearly depreciation rate of 18.5%. Create a function that will determine the value, V(t), of the car t years after purchase.

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V(t) = 25000(1 - 0.185)^t

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Function J(t) for $900 at 2.3% interest, no deposits/withdrawals.

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J(t) = 900(1 + 0.023)^t

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Function for rabbit population decreasing at 1.5% per year from 65,000.

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r(t) = 65000(1 - 0.015)^t

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HINT: Use your y= on the calculator to determine which one is equivalent.

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What represents Growth/Decay on f(x)=a⋅b^x? Options:

x

,

a

,

b

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b