Let's go over the information from the quiz you've shared.

The given function represents the amount $A$ of aspirin (in milligrams) remaining in the bloodstream $t$ hours later:

$A = 120(1 - 0.039)^t$

Question 11:

• Does the situation represent exponential growth or decay?
  • The function represents exponential decay because the base $1 - 0.039 = 0.961$ is less than 1. This shows that the amount of aspirin is decreasing over time.

Question 12:

• How large was the initial dose of aspirin?
  • The initial dose corresponds to $t = 0$. Substituting $t = 0$ into the equation: $A = 120(1 - 0.039)^0 = 120 \text{ milligrams}$ So, the initial dose was 120 mg.

Question 13:

• At what percent rate does the amount of aspirin dissolve in your bloodstream?
  • The rate at which the aspirin dissolves is given by the value $0.039$, which represents 3.9%. So, the amount of aspirin dissolves at a rate of 3.9% per hour.

Would you like further details on any of these questions or explanations? Here are some follow-up questions that can deepen your understanding:

1. Why does a base less than 1 in an exponential function indicate decay?
2. How would the graph of this function change if the rate of decay increased?
3. What would happen if the initial dose was doubled? How would the equation change?
4. How long would it take for the amount of aspirin to halve?
5. Could you derive the half-life of the aspirin from the given function?

Tip: When dealing with exponential functions, always check the base. If it's between 0 and 1, it's decay; if greater than 1, it's growth.