Question

Caffenine takes a certain amount of time to leave your system if you drink 3 cups of coffe in the morning the function that represents the amount of caffeine remaining in your body after drinking the coffe is given by g(t)=130(.8346)^t where t is the timein hours. how much caffeine remains in your body after 1 day. how much caffeine remains in your body after 2 days

Answer 1

In 1 day, 1.70

In two days 0.022

Note; Unit was not given in the question, I would have included it

Explanation:

Here, we are to calculate the amount of caffeine remaining in the body.

To calculate this, we simply substitute for the number of hours t in the equation.

In one day , we have 24 hours

So our substitution will be t = 24

Hence; for a day;

g(24) = 130(0.8346)^24 = 1.70

For two days, we have t = 48 hours

Thus; g(48) = 130(0.8346)^48 = 0.022