contestada

The country of Freedonia has decided to reduce its carbon-dioxide emission by
35
%
35%35, percent each year. This year the country emitted
40
4040 million tons of carbon-dioxide.
Write a function that gives Freedonia's carbon-dioxide emissions in million tons,
E
(
t
)
E(t)E, left parenthesis, t, right parenthesis,
t
tt years from today.
E
(
t
)
=

Respuesta :

Answer:

[tex]\\E(t) =40(0.65)^{t}[/tex]

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  

[tex]E(t) =E_{0} (1-r)^{t}\\[/tex]

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:

[tex]E(t) =E_{0} (1-r)^{t}\\E(t) =40(1-0.35)^{t}\\E(t) =40(0.65)^{t}[/tex]

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