Using an exponential function, it is found that there will be 832 rabbits on the farm after 210 days.
An exponential function is modeled by:
[tex]y = ab^x[/tex]
In which:
Considering the data given in the text, the initial amount and the rate of change are given as follows:
[tex]a = 25, b = (1.65)^{\frac{x}{30}}[/tex]
Hence the equation is:
[tex]y = 25(1.65)^{\frac{x}{30}}[/tex]
After 210 days, the amount is given by:
[tex]y = 25(1.65)^{\frac{210}{30}} = 832[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
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