F-IF.C.8.b

Use the properties of exponents to interpret expressions for exponential functions. Apply to financial situations such as identifying appreciation and depreciation rate for the value of a house or car some time after its initial purchase. For example, identify percent rate of change in functions such as y = (1.02)^t, y = (0.97)^t, y = (1.01)^12t, and y = (1.2)^(t∕10), and classify them as representing exponential growth or decay.

Example Problems
I have a cockroach problem in my living room.

Don't ask how, but I counted
64 cockroaches today, and they are growing at a rate of 25% every day.

How many cockroaches will I have after
three days?
The number of bacteria in a petri dish increases at a rate that is proportional at any time to the number at that time. The dish contained 1,200 bacteria initially, and the population quadruples every 20 minutes.

How many bacteria are in the dish after
50 minutes?
The population of an algae culture increases at a rate that is proportional at any time to the population at that time. The culture contained 500 cells initially, and the population triples every 9 hours.

What is the population of the algae culture after
15 hours?
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