Name: 
 

AII.9 - Curve of Best Fit



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1 

The amount of lost revenue from tickets not sold for a concert is shown in the table.  The ticket prices include tax.

Lost Revenue From Tickets Not Sold
Price per
Ticket (x)
$25
$35
$55
$125
Number of
Tickets Not Sold
84
80
92
323
Amount of Lost Revenue (y)
$2,100
$2,800
$5,060
$40,325

Which equation best models the relationship between y, the amount of lost revenue, and x, price per ticket? 
a.
mc001-1.jpg
c.
mc001-3.jpg
b.
mc001-2.jpg
d.
mc001-4.jpg
 

 2 

Which of the following equations best models the data in this table?
                                            mc002-1.jpg
a.
mc002-2.jpg
b.
mc002-3.jpg
c.
mc002-4.jpg
d.
mc002-5.jpg
 

 3 

Which equation best represents the data in this table?
                                          mc003-1.jpg
a.
mc003-2.jpg
c.
mc003-4.jpg
b.
mc003-3.jpg
d.
mc003-5.jpg
 

 4 

The population of a state is counted every ten years.  In the table,       populations are given for every twenty years.  At the rate the state is growing, what would be the best estimate for the population in the year 2020?
Year
population (to nearest 1000)
1800
478,000
1820
639,000
1840
753,000
1860
993,000
1880
1,400,000
1900
1,894,000
1920
2,559,000
1940
3,572,000
1960
4,556,000
1980
5,880,000
2000
8,049,000
a.
6,970,000
c.
16,000,000
b.
10,600,000
d.
100,600,000
 

 5 

At 1,821 feet tall, the CN Tower in Toronto, Ontario, is the world’s tallest self-supporting structure.  A penny is dropped from the observation deck on top of the tower and falls to the ground.  The table shows the penny’s distance from the ground after various periods of time (in seconds) have passed.  Where is the penny located after falling for a total of 10.5 seconds?
Time
(seconds)
Distance
(feet)
0
1821
2
1757
4
1565
6
1245
8
797
10
221
a.
57 feet
b.
140 feet
c.
221 feet
d.
300 feet
 

 6 

Mike deposited $1000 in an account.  Over 5 years the account has grown exponentially as shown in the table.  Assuming the rate of growth continues to be the same, predict the amount of money Mike will have after 10 years.

Years (t)
0
1
2
3
4
5
Money A(t)
$1000
$1061.80
$1127.50
$1197.20
$1271.20
$1349.90
a.
$1716.00
b.
$1822.20
c.
$2699.80
d.
$5000.00
 

Numeric Response
 

 7 

The table provides the value of an account over time that earned annual compound interest.  There was an initial deposit of $1,500 into the account and no other deposits were made. 

Value of Account Over Time
Time in years, x
0
5
10
15
20
25
30
Value in dollars1,500.001,914.422,443.343,118.393,979.955,079.536,482.91

Assuming the account continues to grow in the same way, use the exponential curve of best fit to find the value of the account at the end of 40 years, rounded to the nearest dollar.

 

Short Answer
 

 8 

A data set is displayed in this table.  Using the exponential curve of best fit, what is the value of y, rounded to the nearest hundredth, when x = 5?

x
-3
-2
-1
0
y
3.375
2.25
1.5
1
 



 
Check Your Work     Start Over