Answer:
Caffeine remains in Doug’s system after 2 hours = 100.672 mg
Step-by-step explanation:
Doug drank a soda with 130 mg of caffeine.
Caffeine drank = 130 mg
Each hour, the caffeine in the body diminishes by about 12%.
Reduction of caffeine per hour = 12 %
We need to find how much caffeine remains in Doug’s system after 2 hours.
[tex]\texttt{Caffeine remaining in Doug’s system after 1 hour =}130-\frac{12}{100}\times 130=114.4mg\\\\\texttt{Caffeine remaining in Doug’s system after 2 hours =}114.4-\frac{12}{100}\times 114.4=100.672mg[/tex]
Caffeine remains in Doug’s system after 2 hours = 100.672 mg