To get the exponential model we use the form: y=abˣ where: a=initial value b=growth factor y=number of years thus using point (1,63) and (2,226) the growth factor will be: b=(226/63)=3.587~3.6 a=63 thus the formula for the function will be: A(y)=a(3.6)^y substituting (1,63) in the equation and solving for a. 63=a(3.6)^1 thus a=63/3.6=17.5 hence the formula will be: A(y)=17.82(3.6)^y
Answer: D] 17.5(3.6)^y
2] The number of acres defoliated after 5 years will be as follows: y=5 years A(y)=17.82(3.6)^y plugging in the value we get: A(y)=17.82(3.6)^5 simplifying the above A(y)=10775.07 A(y)=10775
