Question

The country of freedonia has decided to reduce is carbon dioxide emmission by 35% each year. This year the country emitted 40 million tons of carbon dioxide. Write a function that gives freedonia carbon dioxide emissions in millions ton, t years from today?

Answer 1

emissions = 40·0.65^t

Explanation:

The decay factor in an exponential equation is 1+(decay rate), so the equation can be written ...

amount = (initial amount)×(decay factor)^t

where the decay factor applies to 1 unit of time t. Filling in the given values, we find ...

decay factor = 1 +(-35%) = 0.65 . . . . for 1 year

emissions = 40×0.65^t . . . . . million tons, for t in years