Question

The function that represents the amount of caffeine, in milligrams, remaining in a body after drinking two mountain dew sodas is given by f(t) = 110(0.8855)^t, where t is time in hours. How much caffeine is left in a person's body 18 hours after drinking two mountain dew sodas?

Answer 1

what would the answer be if instead of 18 hours it was 10?

Explanation:

Answer 2

The quantity of the caffeine left is 12.32

Explanation:

- The given is :

The function that represents the amount of caffeine, in milligrams,

remaining in a body after drinking two mountain dew sodas is given by

f(t) = 110
`(0.8855)^(t)`, where t is time in hours

- The function is an exponential function with initial amount of caffeine

110 and a factor of decay (0.8855) and an exponent (t) which

represents the time after drinking 2 mountain dew

- We need to find the quantity of caffeine left in a person's body 18

hours after drinking two mountain dew sodas

∵ f(t) = 110
`(0.8855)^(t)`

∵ t = 18 hours

- Substitute the value of t in the function

∴ f(t) = 110
`(0.8855)^(18)`

∴ f(t) = 12.32

* The quantity of the caffeine left is 12.32