convert the equation

Question

Convert the equation  to the form 

 a = 

  k =   

Give values accurate to three decimal places

Answer 1

f(0) = 113, (0, 113)

f(1) = 88.14, (1, 88.14)

g(t) = 113e^kt

g(0) = 113

g(1) = 113e^k

88.14 = 113e^k

0.78 = e^k

ln 0.78 = k