Use the given information to find a formula for the exponential function N= N(t).

Question

Use the given information to find a formula for the exponential function N= N(t).

N(1)=4 and N(3)=16

Answer 1

N(t) = ab^t

N(1) = ab =4

N(3) =ab^3 = 16

ab^3 = ab(b^2 = 4b^2 = 16

b^2 =16/4 = 4

b = 2

a =2

the exponential function is N(t) = 2(2)^t = 2^(t+1)

N(t) = 2^(t+1)