A Dr. Prescribes 175 milligrams of a drug that decays by about 30% each hour. Write an exponential model representing the amount A in milligrams of the drug remaining in the patients system after 3 hours?
The exponential model representing the amount A in milligrams of the drug remaining in the patient's system after 3 hours can be written as:
A = 175(0.7)^3
Here, 0.7 represents the percentage of the drug remaining after each hour (100% - 30% = 70%). Since the drug decays for 3 hours, we raise 0.7 to the power of 3.
Evaluating the expression, we get:
A = 85.73 milligrams (rounded to two decimal places)
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