Question

Ten deer were introduced into a protected preserve. Their expected population doubles each year. Which function represents the same relationship?

Answer 1

y(t)= 10 (2)^t

Explanation:

If t is the number of years given then the expected number can be found by

y(t)= 10 (2)^t

where t takes the value 0,1,2,3, and so on.

Putting t= 0

y(t)= 10 (2)^t

y(0)= 10 (2)^0

y(0)= 10 For the start the number of deer are 10.

Putting t= 1

y(t)= 10 (2)^t

y(1)= 10 (2)^1

y(1)= 20 After 1 year it has doubled to 20

Putting t= 2

y(t)= 10 (2)^t

y(2)= 10 (2)^2

y(2)= 40 After 2 years it has again doubled to 40

Putting t= 3

y(t)= 10 (2)^t

y(3)= 10 (2)^3

y(3)= 80 After 3 years it has again doubled to 80