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An exponential function can either represent growth or decay
- The initial value is 200 and the growth factor is 1.190
- The number of fish in the pond after 5 years is 436
<u>(a) The initial number of fish and the growth factor</u>
The function is given as:
An exponential function is represented as:
Where
- a represents the initial value
- b represents the growth factor
So, by comparison: the initial value is 200
The growth factor is then calculated as:
Hence, the initial value is 200 and the growth factor is 1.190
<u>(b) The number of fish after 5 years</u>
This means that t = 5.
So, we have:
Hence, the number of fish in the pond after 5 years is 436
Read more about exponential functions at: