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b. Write an exponential equation for the following situation. The drug dosage is 500 mg. The drug is
eliminated at a rate of 5.2% per hour. Use D = the amount of the drug in milligrams and t = time in
hours.
What is the equation for this?

Respuesta :

mhanifa

Answer:

  • D(t) = 500(0.948)^t

Step-by-step explanation:

Initial amount = 500 mg

Elimination rate = 5.2% = 0.052 times per hour

This is the exponential decay and the equation would be:

  • D(t) = 500*(1 - 0.052)^t ⇒ D(t) = 500(0.948)^t

General equation

  • y=ab^x

Where

a is initial amount

b is rate of change

Here b=1-0.052=0.948

So equation

  • D=500(0.948)^t