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 freedonias carbon - dioxide emissions in million tons, e(t), t years from today. e(t) =

Explanation:

Step1: Identify remaining emission percentage

Since emissions are reduced by 35% each year, the remaining percentage of emissions is $100\% - 35\% = 65\% = 0.65$.

Step2: Set up exponential decay function

This is an exponential decay problem. The initial emission $E_0 = 40$ million tons, and the decay factor is 0.65. The general form for exponential decay is $E(t) = E_0 \times (decay\ factor)^t$.
Substitute the known values: $E(t) = 40 \times (0.65)^t$

Answer:

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