Modeling Exponential Functions

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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

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

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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?

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?

Write the equation of the exponential function for the given table.

HINT: STAT EDIT STAT --> CALC #0

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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