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?

(1 point)
Responses

f(x)=600(0.6)^x
f of x is equal to 600 times 0 point 6 to the x th power

f(x)=600(1.06)^x
f of x is equal to 600 times 1 point 0 6 to the x th power

f(x)=600(0.94)^x
f of x is equal to 600 times 0 point 9 4 to the x th power

f(x)=600(0.06)^x
f of x is equal to 600 times 0 point 0 6 to the x th power

Answer 1

Decay factor = 1 − 0.06 = 0.94, so

f(x) = 600(0.94)^x,

where x is years. This is the third option.