Respuesta :

The given function is:

[tex]y=500(0.75)^3[/tex]

It is required to find the decay factor.

Recall that the standard form of an exponential decay function is given as:

[tex]y=a(b)^x[/tex]

Where a>0, 0and b is the decay factor.

Compare the given equation to the standard form.

It can be observed that b=0.75. Hence, the decay factor is 0.75.

The answer is 0.75.