Question

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.

Answer 1

The quantity after t years 40
`(0.65)^(\textrm t)` millions tons

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 ×
`(1-(\textrm rate)/(100))^(\textrm time)`

Or, A millions tons = 40 millions tons ×
`(1-(\textrm 35)/(100))^(\textrm t)`

Or, A millions tons = 40 millions tons ×
`((100-35)/(100))^(\textrm t)`

Or, A millions tons = 40 millions tons ×
`((65)/(100))^(\textrm t)`

Or, A millions tons = 40 millions tons ×
`(0.65)^(\textrm t)`

So,The quantity after t years = A = 40
`(0.65)^(\textrm t)` millions tons

Hence The quantity after t years 40
`(0.65)^(\textrm t)` millions tons Answer