Q:

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* 

Accepted Solution

A:
For this case we have an equation of the form:

 [tex] y = A * (b) ^ t [/tex] 
 Where,
 A: initial weight of the channel.
 b: growth rate
 t: time in weeks.
 Substituting values we have:
 [tex] y = 0.1 * (1.23) ^ t [/tex] 
 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:
 [tex] y = 0.1 * (1.23) ^ t [/tex] 
 Domain:
 [0, 8]