exponential function

Question

At the beginning of an environmental study, a forest covered an area of 1500km2. Since then, this area has decreased by 9.4% each year. Let t be the number of years since the start of the study. Let y be the area that the forest covers in km2. Write an exponential function showing the relationship between y and t.

Answer 1

y = y₀(1-.094)^t

 

y = current or future area

y₀ = Original area = 1500

t = time in years

 

y = 1500(.906)^t