114k views
4 votes
Find the decay factor from the function y = 500(0.75)3.0.751.753500

User Polentino
by
3.3k points

1 Answer

4 votes

If an amount y depends on time t exponentially in such a way that the initial amount at t=0 is a and the decay factor is (1-r), then:


y=a(1-r)^t

As we can see, the base that is elevated to the time-dependent exponent is the decay factor. In the given expression:


y=500(0.75)^3

The factor that has the form of a decay factor is (0.75).

Therefore, the correct choice is: 0.75.

User Tony Borres
by
3.0k points