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Directions - Identify the key components, create an exponential equation, then answer the questions.

Exponential Form: y=a.6, a is the starting value, b is the base (rate).
In a small town, the stray dog population is rapidly increasing there are currently 15 stray dogs, and it is estimated that the population will triple every year.
How many dogs will there be after 1 year? 2 years? 3 years?
1) a =
4) Dogs after 1 years =
2) b =
5) Dogs after 2 years =
3) Equation:
6) Dogs after 3 years =

1 Answer

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Answer:

Directions - Identify the key components, create an exponential equation, then answer the questions.

​Exponential Form: y=a\cdot b^{x},\ a\ is\ the\ \textit{starting}\ \textit{value},\ b\ is\ the\ base\ (rate).\y=a⋅b

x

, a is the starting value, b is the base (rate).

​In a small town, the stray dog population is rapidly increasing. there are currently 15 stray dogs, and it is estimated that the population will triple every year. How many dogs will there be after 1 year? 2 years? 3 years?

​1) a = 15

4) Dogs after 1 years = 45

​2) b = 3

​5) Dogs after 2 years = 135

​3) Equation:

y= 15 ×3x

​6) Dogs after 3 years =

405

Explanation:

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