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

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

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