Answer:
[tex]C(t)=120(0.7)^t[/tex]
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
[tex]y=a(1-r)^t[/tex]
where, a is initial value, r is rate of change and t is time.
Substitute a=120, r=0.3 in the above equation.
[tex]y=120(1-0.3)^t[/tex]
[tex]y=120(0.7)^t[/tex]
The function form of above equation is
[tex]C(t)=120(0.7)^t[/tex]
Therefore, the required function is [tex]C(t)=120(0.7)^t[/tex].
