AnswersOK-Algebra II - Sem B -CA- 35031BUnit Test

Unit Test — Unit test Answers

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21
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The table shows the population of Center City in various years. Use the data from 1990 and 2005 to create a linear model that predicts the population of the city (y) in a given year (x). In which year was the actual population of Center City most different from the value predicted by this model?YearCity Population1985194,9571990197,8001992199,5322000203,7502005206,5612012210,600

A
1985
B
1992
C
2000
D
2012
22
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In a certain country, a letter up to 1 ounce requires postage in the amount of $0.42, and each additional ounce (or fraction of an ounce) has an additional cost. The function below represents the cost of mailing one letter with a weight of x ounces in this country.Josiah has two letters. The first weighs 2.9 ounces, and the second weighs 4.1 ounces. What is the total amount Josiah can expect to pay for postage?

Question illustration
A
$1.62
B
$1.64
C
$1.84
D
$2.04
23

When graphing the function on your graphing calculator, what is the most appropriate viewing window for determining the domain and range of the function?

Question illustration
A
Xmin: –10, Xmax: 10Ymin: –10, Ymax: 10
B
Xmin: –20, Xmax: 20Ymin: –20, Ymax: 20
C
Xmin: –5, Xmax: 5Ymin: –20, Ymax: 20
D
Xmin: –10, Xmax: 10Ymin: –5, Ymax: 5
24

Which characteristic of a data set makes a linear regression model unreasonable?

A
a slope close to 0
B
a correlation coefficient close to 0
C
a slope close to –1
D
a correlation coefficient close to –1
25

Graham uses a 10 by 10 grid to model a decreasing pattern. He cuts off a section representing a percent of the current area so that the remaining area represents the next term in the pattern, rounded to nearest whole centimeter. The area after each cut is shown on the graph.

Question illustration
A
10%
B
20%
C
80%
D
100%
26

If a flowering tree is cared for properly, the number of blossoms produced on the tree will exponentially increase until the tree reaches maturity. Which graph could show y, the number of blossoms expected on a flowering tree, for each year after the young tree is planted, x?

A
A graph shows age of trees (years) labeled 1 to 10 on the horizontal axis and number of blossoms on the vertical axis. A line increases from 0 to 3 years then decreases from 3 to 7 years.
Option A
B
A graph shows age of trees (years) labeled 1 to 10 on the horizontal axis and number of blossoms on the vertical axis. A curved line increases from 0 to 8 years.
Option B
C
A graph shows age of trees (years) labeled 1 to 10 on the horizontal axis and number of blossoms on the vertical axis. A straight line increases from 0 to 9 years.
Option C
D
A graph shows age of trees (years) labeled 1 to 10 on the horizontal axis and number of blossoms on the vertical axis. A curved line decreases from 0 to 9 years.
Option D
27

The data reflects the time a pot of water is heating on a stove (x), paired with the temperature of the water (y).

Question illustration
A
The initial temperature of the water is 65 degrees.
B
The initial temperature of the water is 3.7 degrees.
C
The water is on the stove for a total of 65 minutes.
D
The water is on the stove for an average of 3.7 minutes.
28

The table shows data from a travel agency, representing the number of guests on a trip (x) and the estimated dollar cost of the trip (y).When using the median-fit method with summary points (3, 2,750), (6, 4,200), and (9, 5,750), what is the approximate slope of the best-fit model?

Question illustration
A
483
B
500
C
517
D
706
29

The scatterplot contains data points, pairing the age of a child (x) with the child’s weight (y).

Question illustration
A
line a
B
line b
C
line c
D
line d
30

The table shows the age of a painting (x) in years, and its estimated dollar value (y).Which regression equation correctly models the data?

Question illustration
A
y = 41.47x + 0.09
B
y = 41.47x + 1,279.93
C
y = 153.32x – 6,688.54
D
y = 153.32x – 6,325.76
31

If , what is f(5.9)?

Question illustration
A
9
B
10
C
11
D
12
32

Based on the family the graph below belongs to, which equation could represent the graph?

Question illustration
A
y = StartFraction 1 Over x + 2 EndFraction + 3
Option A
B
y = 0.2 Superscript x Baseline + 3
Option B
C
y = x cubed + 3
Option C
D
y = log x + 3
Option D

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