Question

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.

*Please Help* 

Answer 1

For this case we have an equation of the form:

 $y = A * (b) ^ t$ 
 Where,
 A: initial weight of the channel.
 b: growth rate
 t: time in weeks.
 Substituting values we have:
 $y = 0.1 * (1.23) ^ t$ 
 Where, the domain is:
 [0, 8]
 Answer:
 an exponential growth function that represents the weight of the catfish after t weeks during the 8-week period is:
 $y = 0.1 * (1.23) ^ t$ 
 Domain:
 [0, 8]

Answer 2

The equation is 
$y=0.1(1.23)^t$.

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
$y=0.1(1.23)^t$.