Question

If you start with 100 mg of menthol in your system, and the percent decrease is 60% every minute...

a) Write an equation to model this situation.
b) Predict how much menthol will be in your system after 5 minutes.

Answer 1

The equation to model this situation is Amount of menthol at time t = Initial amount of menthol * (1 - Percent decrease/100)^t. After 5 minutes, the amount of menthol in the system will be 1.024 mg.

Step-by-step explanation:

To model this situation, we can use the equation:

Amount of menthol at time t = Initial amount of menthol * (1 - Percent decrease/100)^t

Given that the initial amount of menthol is 100 mg and the percent decrease is 60%, we can plug these values into the equation:

Amount of menthol at time t = 100 * (1 - 60/100)^t

To predict how much menthol will be in your system after 5 minutes, we substitute t with 5:

Amount of menthol after 5 minutes = 100 * (1 - 60/100)^5 = 100 * (0.4)^5 = 100 * 0.01024 = 1.024 mg