The value of time period for the equation is 8.
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
The population of insects is increasing by 9% each week = 0.09
At the beginning of the experiment, number of insects = 16
Number of insects increased per week
⇒ [tex]16+16(0.09)[/tex]
Let the time period be x.
Number of insects increased after 8 weeks can be found by the equation,
[tex]Future Amount = 16 (1 + 0.09)^{x}[/tex]
⇒ [tex]Future Amount = 16 (1 + 0.09)^{8}[/tex]
Hence we can conclude that the value of time period for the equation is 8.
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