The exponential growth function is "[tex]y = 25(1.0167)^t[/tex]". A complete solution is below.
Given:
Population,
Increasing rate,
Now,
The value after 1 year will be:
= [tex]25+(\frac{20}{100} )25[/tex]
= [tex]25+\frac{1}{5}\times 25[/tex]
= [tex]25+5[/tex]
= [tex]30[/tex]
Now
→ [tex]25(1+\frac{R}{100} )^{12} =30[/tex]
→ [tex]R = 1.67[/tex]
hence,
The exponential growth rate to find the monthly growth rate will be:
→ [tex]y = 25(1.0167)^t[/tex]
Thus the above answer i.e., option C is the correct alternative.
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