Assignment:
Growth and decay problems
Q1. GRIDDED ANSWER. A new laptop computer cost $2000. The value of the computer decreases overtime. The value V(in dollars) of the computer after t years is given by the function V=2000(0.82) raise to t. What is the decay rate, written as a decimal, of the value of the computer?
Q2. OPEN-ENDED. The value if a house in Iowa increased, on average, at a rate of bout 4% per quarter from the first quarter in 2001 to the last quarter in 2004. Write a function that models the value of the house overtime. Choose an initial value of the house and a quarter such that the value of the house is about $275,000.
Q3. EXTENDED RESPONSE. A musician is saving money to buy a new snare drum. The musician puts $100 in a savings account that pays 3% annual interest compounded yearly.
a. Write a function that models the amount of money in the account overtime.
b. Graph the function.
c. The musician wants a drum that costs $149.95. Will there be enough in the account after3 years? Explain.
Q4. MULTI-STEP PROBLEM. The half-life of a medication is the time it takes for the reduce to half of its original amount in a patient's bloodstream. A certain antibiotic has a half-life of about 8 hours.
a. A patient is administered 500 milligrams of the medication. Write a function that models the amount of the medication in that patient's bloodstream overtime.
b. How much of the 500 milligram dose will be in the patient's bloodstream after 24 hours?
Provide complete and step by step solution for the question and show calculations and use formulas.