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

Respuesta :

Answer:

The quantity after t years 40 [tex](0.65)^{\textrm t}[/tex] millions tons

Step-by-step explanation:

Given as :

The rate of decrease of carbon dioxide each other = 35%

The quantity of carbon dioxide emitted this year = 40 million tons

Let the quantity of carbon dioxide emitted after t year = A millions tons

Now, According to question

The quantity of carbon dioxide emitted after t year = The quantity of carbon dioxide emitted this year × [tex](1-\dfrac{\textrm rate}{100})^{\textrm time}[/tex]

Or, A millions tons = 40 millions tons × [tex](1-\dfrac{\textrm 35}{100})^{\textrm t}[/tex]

Or, A millions tons = 40 millions tons × [tex](\dfrac{100-35}{100})^{\textrm t}[/tex]

Or, A millions tons = 40 millions tons × [tex](\dfrac{65}{100})^{\textrm t}[/tex]

Or, A millions tons = 40 millions tons × [tex](0.65)^{\textrm t}[/tex]

So,The quantity after t years = A = 40  [tex](0.65)^{\textrm t}[/tex] millions tons

Hence The quantity after t years 40 [tex](0.65)^{\textrm t}[/tex] millions tons    Answer

Answer:

answer above is correct

Step-by-step explanation:

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