Question

Doug drank a soda with 130 mg of caffeine. Each hour, the caffeine in the body diminishes by about 12%.

Answer 1

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.

$\texttt{Caffeine remaining in Doug’s system after 1 hour =}130-\frac{12}{100}\times 130=114.4mg\\\\\texttt{Caffeine remaining in Doug’s system after 2 hours =}114.4-\frac{12}{100}\times 114.4=100.672mg$

Caffeine remains in Doug’s system after 2 hours = 100.672 mg