Exercise Set 6
Table 13: Population,
), of Las Vegas
years after 1980
1. Refer to the population of Las Vegas, NV, for given years as shown in Table 13.
(a) Using the population of Las Vegas in 1980 and 2010, build an exponential model for
(b) Use your exponential model to predict the population of Las Vegas in 1990. How does
your prediction compare with the actual population at that time?
(c) Use your exponential model to predict in what year the population of Las Vegas will be
(d) Using the population of Las Vegas in 1980 and 2010, build a linear model for
(e) Do you think the linear model or the exponential model is a better fit to the data?
2. When buying a new car, one consideration is how fast the car loses value, known as the
depreciation rate. For example, one version of the Jeep Liberty loses value more rapidly than
some of its competitors. From the initial purchase price of $23,395, an owner can expect the
value of the car 5 years later to be $15,239.
(a) What is the average dollar value decline per year during the first 5 years of ownership?
(b) Use an exponential model produce a function that gives the value of the Jeep in terms
of the number of years,
, since the Jeep was new.
(c) Use your model to predict the value of the Jeep when it was 3 years old.
(d) When will the value of the Jeep decline to $5,000?
3. A baseball is launched into the air from a height of 2 meters and with an initial upward
velocity of 25 meters/second. The ball’s height above ground is given by the equation
is in meters and
is in seconds.
(a) Write an equation to model the height of a ball.
(b) How long is the ball in the air?
(c) What is the maximum height reached by the ball?
4. Oscar charges $5 per linear foot to paint any standard outdoor wooden fence, plus $20 to
cover incidental items, such as brushes.
(a) Write a function equation that gives the cost to paint a fence of length