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# MATH HOMEWORK HELP

8. After x weeks the number of persons using a new drug was . At what percentage rate was the use of the drug changing after four weeks?

Solution: Let’s compute

We can take two approaches: by derivatives (approximation) or exactly:

• Derivatives:

After four weeks the derivative is computed as

which means that approximately 208 new people a week use the drug after four weeks. We also know that

the percentage rate the use of the drug is changing after four weeks is 10.4% (approximation using derivatives).

• Exactly:

We can compute the percentage exactly as:

(b) By how much did the number of persons using this drug actually change during the fourth week?

Solution: We can find the exact change computing

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