More aboutExponential Modeling

Fossil 2

The Trouble With Tribbles or ...

more about exponential modeling

tribbles by flickr user tr67

Spock says:• total of 1 771 561 tribbles

• started with 1 tribble

• each tribble produces 10 tribbles/litter every 12 hours

• they did this for 3 days

Is Spock telling the truth?

Assume a total of 1 771 561 tribbles, how long would it take 1 tribble to produce that many?

HOMEWORKWhat if a little more than 3 days have passed?How much time has actually passed?

In 1999, the population of Winnipeg was 630 700, and was increasing at the rate of 0.54% per year.(a) Write an equation to represent the population of Winnipeg, P, as a function of the number of years, y, since 1999.

In 1999, the population of Winnipeg was 630 700, and was increasing at the rate of 0.54% per year.

(b) Calculate how many years it would take for the population to double.

In 1999, the population of Winnipeg was 630 700, and was increasing at the rate of 0.54% per year.(c) Calculate when the population will reach 1 million.

In 1999, the population of Winnipeg was 630 700, and was increasing at the rate of 0.54% per year.

(d) Write the equation in part (a) as an exponential function with base 2.

(e) Write the equation in part (a) as an exponential function with base e.

Consider the graph of and sketch the graph of ...

Identify the asymptote of each graph above.

Solve each of the following ...

Consider the graph of and sketch the graph of ...

A $5000 investment earns interest at the annual rate of 8.4% compounded monthly.

a) What is the investment worth after one year?b) What is it worth after 10 years?

c) How much interest is earned in 10 years?

A radioactive substance decays at a daily rate of 0.13. How long does it take for this substance to decompose to half its size?

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