Question

At the moment a certain medicine is injected, its concentration in the bloodstream is 120 milligrams per liter. From that moment forward, the medicine's concentration drops by 30% percent each hour. Write a function that gives the medicine's concentration in milligrams per liter, C(t), t hours after the medicine was injected. If anyone responds, thank you <3

Answer 1

Answer:
`C(t) = 120(1-0.30)^t`

Explanation:

Exponential equation for decay:
`y= A(1-r)^t`, where A = initial value, r= decay rate , t= time.

As per given, A = 120ml , r= 0.30

`C(t) = 120(1-0.30)^t`

Hence, the required function that gives the medicine's concentration in milligrams per liter, C(t), t hours after the medicine was injected.

`C(t) = 120(1-0.30)^t`