@Mathematics Choose the situation which would best be modeled by an exponential decay function.
A)An island is being eroded away and loses 10% of its beachfront every year.
B)A player's batting average decreases by .025 for each year he is in the major leagues.
C)A bank account has fallen below a minimum balance and is being charged $1.50 per day in fees.
D)A machine depreciates (loses value) by $1000 in its first year, by $2000 in its second, $3000 in its third, etc.

Question

@Mathematics 	 Choose the situation which would best be modeled by an exponential decay function.
A)An island is being eroded away and loses 10% of its beachfront every year.
B)A player's batting average decreases by .025 for each year he is in the major leagues.
C)A bank account has fallen below a minimum balance and is being charged $1.50 per day in fees.
D)A machine depreciates (loses value) by $1000 in its first year, by $2000 in its second, $3000 in its third, etc.

anonymous · Answer

An exponential decay function is one where at each time step, you determine the next value by multiplying it by some factor.  Which of those seem like they follow that pattern?

anonymous · Answer

A)

anonymous · Answer

yep!  you multiply it by 0.9 each time, so that makes it an exponential decay function.