Question

What's the decay rate?A) 0.9%B) 90%C) 0.1%D) 10%(I put the answer choises and question in here since they would not fit good with a picture)

Answer 1

We are given the following function which models the decline of a population.

$y=6.5(\text{0}.9)^x$

The standard form of such a population decay function is given by

$y=a(b)^x$

Where a is the initial population, b is the decay rate and x is the time period.

The decay rate is greater than 0 and less than 1

Comparing the given function with the standard form, we see that the decay rate is 0.9

In percentage, the decay rate is 90%

$b=0.9\times100=90\%$

Therefore, the decay rate of the function is 90%