Answer:
The quantity of the caffeine left is 12.32
Step-by-step 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[tex](0.8855)^{t}[/tex], 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[tex](0.8855)^{t}[/tex]
∵ t = 18 hours
- Substitute the value of t in the function
∴ f(t) = 110[tex](0.8855)^{18}[/tex]
∴ f(t) = 12.32
* The quantity of the caffeine left is 12.32
