Weight after 4 weeks is 0.229 pound
Solution:
Given that young channel catfish weighs about 0.1 pound
During the next 8 weeks, its weight increases by about 23% each week
So the exponential growth function is given as:
Exponential functions are given by
[tex]y = a(1+r)^x[/tex]
where a is the initial amount, r is the rate of growth, and x is the amount of time and y is the weight after "x" weeks
In our case, a = 0.1, r = 0.23 ( that is 23 % ) and t = 4
Thus we get,
[tex]y = 0.1(1 + 0.23)^4[/tex]
[tex]y = 0.1(1.23)^4\\\\y = 0.1 \times 2.289\\\\y = 0.229[/tex]
Thus weight after 4 weeks is 0.229 pound
