Population Modeling

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.

• 1

• 2

• 3

• 4

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CCSS.HSF-IF.C.8B

The bear population in a given area is currently 1580. They anticipate the bear population to decrease by 2% each year. Which function represents the population of bears, B, after t years.

• B = 1580(0.02)^t

• B = 1580(1 – 0.02)^t

• B = 1580(1 + 0.02)^t

• B = 1580(1 – 0.2)^t

Tags

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

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

HINT: STAT EDIT STAT --> CALC #0

Tags

CCSS.HSF.LE.A.2

An antibiotic is introduced into a colony of 12,000 bacteria during a laboratory experiment. The colony is decreasing by 15% per minute. Which function can be used to model the number of bacteria in the colony after x minutes?

• f(x) = 12000(1.15)^x

• f(x) = 12000(0.15)^x

• f(x) = 12000(0.85)^x

• f(x) = 12000(1.85)^x

Tags

CCSS.HSF.LE.A.2

What is the amplitude of the function?

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CCSS.HSF-IF.C.7E

What is the midline of the function?

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CCSS.HSF-IF.C.7E

What is the population at 6pm on Wednesday?

Remember that t is counted in days, where t=0 is Saturday at midnight.

(Hint: Sunday + Monday + Tuesday + 18/24 hours on Wednesday would be what number of days as a decimal?)

During what time interval(s) did the population exceed 600?