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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

Sagot :

Answer: [tex]C(t) = 120(1-0.30)^t[/tex]

Step-by-step explanation:

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

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

[tex]C(t) = 120(1-0.30)^t[/tex]

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

[tex]C(t) = 120(1-0.30)^t[/tex]