Exponential and Logistic Functions Practice

Graph the function, then identify its ket characteristics in the questions to follow.

If $11000 is invested in an account that earns 2.5% interest compounded continuously, find the total amount in the account after 10 years assuming there are no additional deposits or withdrawals made.

Round to the nearest dollar.

A population of 600 deer doubles every year. What will the size of the deer population be in 5 years?

A fruit fly population, P, in a small habitat after t days is given by the function P(t). How many flies will there be in 20 days? P(t)=\frac{312}{1+52e^{-0.43t}} Round to the nearest whole number of flies.

• 2

• 0.7

• x

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
Is the population of elephants increasing or decreasing?

• Increasing

• Decreasing

What is a, the starting value, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

Is the following function an example of decay or growth?

f(x)=2(0.85)^x

• Exponential Decay

• Exponential Growth

Is the following function an example of decay or growth? f(x) = 2(1.25)^x

• Exponential Growth

• Exponential Decay

What does this graph represent?

• Exponential Decay

• Exponential Growth