At the moment a certain medicine is injected, its concentration in the bloodstream is 120120120 milligrams per liter. from that moment forward, the medicine's concentration drops by 30\%30%30, percent each hour.

write a function that gives the medicine's concentration in milligrams per liter, c(t)c(t)c, left parenthesis, t, right parenthesis, ttt hours after the medicine was injected.

Step-by-step explanation:

Let C(t) be the medicine's concentration in milligrams per liter, t hours after the medicine was injected.

It is given that the initial medicine's concentration is 120 milligrams per liter.

The medicine's concentration drops by 30% each hour.

The general exponential decay function is

where, a is initial value, r is rate of change and t is time.

Substitute a=120, r=0.3 in the above equation.

The function form of above equation is

Therefore, the required function is .

98%

step-by-step explanation: