Ayoung 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.* * 

For this case we have an equation of the form:

  
 Where,
 A: initial weight of the channel.
 b: growth rate
 t: time in weeks.
 Substituting values we have:
  
 Where, the domain is:
 [0, 8]
 
 an exponential growth function that represents the weight of the catfish after t weeks during the 8-week period is:
  
 Domain:
 [0, 8]

The equation is 
.

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

which simplifies to
.

Yes the slope to this is -5