Problem 1)

Soon after taking aspirin, a patient has absorbed 300 mg of the drug. After 4 hours, only 75 mg remain. Use this information to answer the questions below.

A) Find an exponential model for the amount of aspirin in the bloodstream after t hours. SHOW WORK.

B) How much aspirin is in the bloodstream after 8 hours? SHOW WORK.

C) What is the half-life of this aspirin?

Problem 2)

You just sold 200 "I Love Calculus" T-shirts and early in your sales promotion sales appear to be doubling every 10 days. You estimate a total market of 5,000 shirts. Give a logistic function for sales,S, of your T-shirtst-days after your initial sale of 200 shirts.

A. What is the value ofNin your function? Explain how you know.

B. What is the value ofAin your function. SHOW WORK computingA.

C. What is the value ofbin your function? Show work computingb.

Problem 3)

Solve the following equation for x. Show ALL work in computing your value.