Question

A radioactive substance decays at a rate of 6% each year. If the initial amount of the substance was 600 grams, create an exponential function to model the decay of the substance. Which of the following options correctly models the decay?

Option #1: f(x)=600(0.06)x

Option #2: f(x)=600(1.06)x

Option #3: f(x)=600(0.6)x

Option #4: f(x)=600(0.94)x

(1 point)
The option that correctly models the problem is Option #
.

Answer 1

A 6% annual decay means each year you keep 94% of the previous amount, so the model is
f(x) = 600(0.94)^x.

The correct choice is Option #4.