Ayoung channel catfish weighs about 0.1 pound. during the next 8 weeks, its weight increases by about 23% each week. about how much will the catfish weigh after 4 weeks? round your answer to the nearest thousandth of a pound.

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

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,

Thus weight after 4 weeks is 0.229 pound

-8/2y-8=5/y+4-7y+8/y^2-16

we move all terms to the left:

-8/2y-8-(5/y+4-7y+8/y^2-16)=0

we can not solve this equation