Exponential Functions and Their Properties

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all real numbers

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positive real numbers

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(0,1)

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y=0

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Dory is preparing for a long-distance race. He currently runs 20 miles each week, and he plans to increase the total distance he runs by 5% each week until race day. Which exponential function could Dory use to predict the number of miles he should run each week? Options: A(t)=20(1-0.05)^t, A(t)=20(1+0.05)^t, A(t)=20(1+5)^t, A(t)=20(1-5)^t

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A(t)=20(1+0.05)^t

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A newly launched clothing line is rapidly increasing in popularity. Every month, 20% more items of clothing are sold. If 89,090 items were sold this month, how many will be sold in 9 months from now?

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459,685 items.

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This is an example of.....

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exponential decay

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You buy a car for $8000 that depreciates at a rate of 11% a year. How much is the car worth after 5 years?

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$4467.25