Question

The country of Freedonia has decided to reduce its carbon-dioxide emission by

Answer 1

Answer:

$\\E(t) =40(0.65)^{t}$

Step-by-step explanation:

Since the country wants to reduce the emission by the percentage each year, the function will be decaying function. The formula of decaying function will look like this  

$E(t) =E_{0} (1-r)^{t}$

Where

E(t) = the number of emission after t years

E0= the number of initial emission= 40 million tons

r=rate of growth/decay = 35%= 0.35

t= time in years

If we put the number, the equation will be:

$E(t) =E_{0} (1-r)^{t}\\E(t) =40(1-0.35)^{t}\\E(t) =40(0.65)^{t}$