a landscaper puts 5 fish into a new pond. the number of fish doubles each month. write a function f(x) to model the number of fish in the pond after x months.

Question

f(x)=    

that is what the answer is , you have to find what it equals.

f(x) models the number of fish in the pond after x months

Answer 1

f(x) = f₀ (2)^x

 

x = number of months elapsed since you put in f₀ fish

f₀ = initial number of fish = 5

 

f(x) = 5 (2)^x

Answer 2

Number of fish after 1 month = 5(2)

 

Number of fish after 2 months = 5(2)(2) = 5(2)²

 

Number of fish after 3 months = 5(2)²(2) = 5(2)³, etc

 

f(x) = number of fish in x months = 5(2)^x