Solving Exponential Growth Problems

Solving Exponential Growth Problems-16
Some examples of exponential growth are population growth and financial growth.The information found, can help predict what a population for a city or colony would be in the future or what the value of your house is in ten years.The reason I showed you using the formula was to get you use to it.

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For example, bacteria will continue to grow over a 24 hours period, producing new bacteria which will also grow.

The bacteria do not wait until the end of the 24 hours, and then all reproduce at once.

We will still be using the same formula we did to answer the questions above, we will just be using it to find a different variable.

Plugging in 60 for A and solving for t we get: Since we are looking for when, what variable do we need to find? What are we going to plug in for A in this problem? Plugging 200000 for A in the model we get: t is the amount of time that has past.

two function formulas were used to easily illustrate the concepts of growth and decay in applied situations.

If a quantity grows by a fixed percent at regular intervals, the pattern can be depicted by these functions..

Plugging in 11 for t and solving for A we get: Looks like we have a little twist here.

Now we are given the population and we need to first find t to find out how many years after 1994 we are talking about and then convert that knowledge into the actual year.

C) What will the population of the city be in 2005? Since we are looking for the population, what variable are we seeking? The way the problem is worded, 1994 is what we call our initial year. Plugging in 0 for t and solving for A we get: When writing up the final answer, keep in mind that the problem said that the population was in thousands. Another way that we could have approached this problem was noting that the year was 1994, which is our initial year, so basically it was asking us for the initial population, which is Ao in the formula.

This happens to be the number in front of e which is 30 in this problem.


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