Modeling with Exponential Functions

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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.

• V(t) = 25000(1 - 0.185)^t

• V(t) = 25000(1 + 0.185)^t

• V(t) = 25000(1 - 18.5)^t

• V(t) = 25000(1 + 18.5)^t

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CCSS.HSF.LE.A.2

The rabbit population started at 65,000 rabbits. The population is decreasing at a rate of 1.5% each year. Write a function r(t) to represent the rabbit population after t years.

• r(t) = 65000(1 - 0.015)^t

• r(t) = 65000(1 + 0.015)^t

• r(t) = 65000(1 - 1.5)^t

• r(t) = 65000(1 + 1.5)^t

Tags

CCSS.HSF.LE.A.2

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

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CCSS.HSF-IF.C.8B

The exponential function modeled below represents the number of square kilometers of land occupied by cane toads x years after this animal was first introduced into Australia. Which function best models this data?

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CCSS.HSF.LE.A.2

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CCSS.HSF.LE.A.2

The exponential function modeled below represents the number of square kilometers of land occupied by cane toads x years after this animal was first introduced into Australia. Which function best models this data?

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CCSS.HSF.LE.A.2

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CCSS.HSF.LE.B.5

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CCSS.HSF.LE.A.2

The population of a town is currently 6342 and is increasing by a rate of 1.3% each year. Which function represents the population of people, P, after t years.

• P = 6342(1 + 1.3)^t

• P = 6342(1 – 1.3)^t

• P = 6342(1 + .013)^t

• P = 6342(1 – .013)^t

Tags

CCSS.HSF.LE.A.2