Question

What is the growth or decay and the percentage rate of Y=23(0.292)^x

Answer 1

So the decay percentage rate is of 70.8%

Explanation:

An exponentil function has the following format:

`y = ca^(x)`

In which c is a constant.

If a>1, we have that a = 1 + r and r is the growth rate.

If a<1, we have that a = 1 - r and r is the decay rate.

In this problem:

a = 0.292

A is lesser than 1, so r is the decay rate.

1 - r = 0.292

r = 1 - 0.292

r = 0.708

So the decay percentage rate is of 70.8%