Answer :
The total number of rabbits in the range 9 years from 1990 is 4094.
Exponential growth occurs when the growth rate of the value of a mathematical function is proportional to the function’s current value, resulting in its growth with time being an exponential function. In other words, when the growth of a function increases rapidly in relation to the increase in the total number, then it is exponential.
[tex]A = A_{0} * e^{kt}[/tex] --- (1)
where A is the initial value, [tex]A_{0}[/tex] is the previous value, k is the exponential constant, and t is the time.
Now, substitute the values to determine the value of 'k'.
160 = 80 * [tex]e^{k*1}[/tex]
2 = [tex]e^{k}[/tex]
ln2 = k
k = 0.6931
Now, at t = 9 the expression (1) becomes:
[tex]A = 80 * e^{0.6931*9}[/tex]
A = 4094 rabbits
Thus, the total number of rabbits in the range 9 years from 1990 is 4094.
To learn more about range, visit brainly.com/question/28135761
#SPJ4
