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A young channel catfish weighs about 0.1 pound. During the next 8 weeks, its weight increases by about 23% each week. Write an exponential growth function that represents the weight of the catfish after t weeks during the 8-week period.

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User TiagoLr
by
6.5k points

1 Answer

2 votes
The equation is

y=0.1(1.23)^t.

Step-by-step explanation:
Exponential functions are given by y=a(1+r)
ˣ, where a is the initial amount, r is the rate of growth, and x is the amount of time. In our case, a=0.1, r=0.23 and t=x.

This gives us

y=0.1(1+0.23)^t
which simplifies to

y=0.1(1.23)^t.
User Jmls
by
6.6k points
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