Penicillin: Linear and exponential problems

Question

Brittney takes a tablet containing 500 mg of penicillin. After one hour, she has 480 mg of penicillin in her blood stream.

a. Find a linear and an exponential relationship for the situation.

b. Make tables to show each relationship for the situation

c. Which relationship shows more penicillin in her blood stream at 5 hours?

Answer 1

(500 - 480)/(0 - 1) = -20

y = -20x + 500

20/500 = 0.04

A = P(0.96)^t

I bet you can make a table.

y = -20(5) + 500

y = -100 + 500

y = 400

A = 500(0.96)5

A = 407.68

What's your answer to c?