Section 4.1 and 4.2 HMWK
Directions: Graph the function and state the domain and range.
1) y = −3
4
3
x
2) f x = 2
1
5
x
3) g x = 5
x+2 − 7
4) y = −2(0.25)
x + 3
Directions: Solve for the unknown.
5) When a person takes a dosage of ibuprofen, the amount A (in milligrams) of medication remaining in the person's bloodstream after t hour can be
modeled by the equation A = 200(0.71)
t
. Identify if it is growth or decay, the initial amount, the growth/decay factor, and the annual percent
increase/decrease. Then estimate the amount of Ibuprofen left in a person’s bloodstream after 1.5 hours.
6) From 1997 to 2002, the number n (in millions) of DVD players sold in the United States can be modeled by n = 0.42(2.47)
t where t is the number of
years since 1997. Identify if it is growth or decay, the initial amount, the growth/decay factor, and the annual percent increase/decrease. Then estimate the
number of DVD players sold in 2001.
7) At an online auction, the opening bid for a pair of in-line skates is $50. The price of the skates increases by 10.5% per bid during the next 6 bids. Write a
model giving the price p (in dollars) of the skates after n bids. What was the price after 5 bids? 100 bids? Is the predicted price for 100 bids reasonable?
Explain.
8) You buy a new mountain bike for $200. The value of the bike decreases by 25% each year. Write of model given the mountain bike’s value y (in dollars)
after t years. What is the price of the bike after two?
9) You deposit $2200 in a bank account. Find the balance after 4 years if the account pats 2.25% annual interest compounded monthly.
10) You want to have $3000 in your savings account after 3 years. Find the amount you should deposit initially if the account pays 3.5% annual interest
compounded quarterly.