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

$E(t) = 40(0.65)^t$

Step-by-step explanation:

Given,

Current quantity of emission, P = 40 millions,

Reduction in emission per year, r = 35% = 0.35,

Thus, the quantity of emission after t years,

$E(t)=P(1-r)^t$

$E(t) = 40(1-0.35)^t$

$\implies E(t) = 40(0.65)^t$

Which is the required function.