198k views
0 votes
The function f(x) = 4(0.5)* gives the remaining amount, in grams, of a radioactive substance after thesubstance has been decaying for x minutes. What does the equation f(4) = 0.25 represent in thissituation? (FIF.2)A) After decaying for 15 seconds, there are 4 grams of the substance remainingB) After decaying for 25 seconds, there are 4 grams of the substance remainingC) After decaying for 4 minutes, there is 0.25 gram of the substance remainingD) After decaying for 4 minutes, there is 0.25 of the original mount of the substance remaining

User Arni
by
8.3k points

1 Answer

6 votes

c)After decaying for 4 minutes, there is 0.25 gram of the substance remaining

Step-by-step explanation

Exponential growth or decay function is a function that grows or shrinks at a constant percent growth rate,The equation can be written in the form


\begin{gathered} y=ab^x \\ \text{where a is the coefficient} \\ \text{and b is the decay rate} \\ 0so, we have the function[tex]f(x)=4(0.5)^x

Step 1

a)What does the equation f(4) = 0.25 represent in this situation?

as the independent variable is the time (x), and the dependent varialbe is the remaining amount of substance,

the expression


f(4)=0.25

tells us that after 4 minutes the amount of substance is 0.25 grams,

so, the answer is

c)After decaying for 4 minutes, there is 0.25 gram of the substance remaining

I hope this helps you

User FBH
by
8.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories