Question
I start with 600 pieces of candy for trick or treaters, and it gets handed out at a rate of 6% per minute. Write an exponential function to model the decay of my candy reserves.(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(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 f(x)=600(1.06)x
Answers
GPT-4o mini
To model the decay of your candy reserves, we can start by noting that you are losing 6% of your candy each minute. This means that you retain 94% of your candy.
If you start with 600 pieces of candy, the amount of candy remaining after \( x \) minutes can be modeled by the exponential function:
\[
f(x) = 600(0.94)^x
\]
Here, \( 0.94 \) represents the 94% of the candy you retain after handing out candy, and \( x \) represents the number of minutes.
Thus, the correct response is:
**f(x) = 600(0.94)^x**
If you start with 600 pieces of candy, the amount of candy remaining after \( x \) minutes can be modeled by the exponential function:
\[
f(x) = 600(0.94)^x
\]
Here, \( 0.94 \) represents the 94% of the candy you retain after handing out candy, and \( x \) represents the number of minutes.
Thus, the correct response is:
**f(x) = 600(0.94)^x**