AnswersOC27 GEO-1206310-S2-Degele-VOL7006PArea of Triangles and Parallelograms

Area of Triangles and Parallelograms — Cumulative exam Answers

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A plant food company recommends mixing a teaspoon of food with every gallon of water and only adding a teaspoon when the water level goes above the next whole gallon.Which graph models the number of teaspoons of food depending on the amount of water?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
22
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The table shows the probabilities of certain prizes in a restaurant’s contest where the first 100 customers are winners.

Question illustration
A
It increases the mean value of the prizes.
B
It decreases the mean value of the prizes.
C
It increases the median value of the prizes.
D
It decreases the median value of the prizes.
23

Garth is packing boxes with books. The list shows how many books are in each of 10 boxes.6, 14, 6, 18, 9, 9, 12, 10, 11, 15 Which statement is true about the number of books packed to a box?

T
The median number of books to a box is 8.
T
The median number of books to a box is 9.
T
The mean number of books to a box is 11.
T
The mean number of books to a box is 12.
24

The number of rows in an auditorium can be represented by the function f(x) = 80x.The number of seats in each row can be represented by the function g(x) = x + 7.Which function represents the total number of seats, h(x) = f(x)g(x)?

A
h(x) = 136x
B
h(x) = 80x2 + 560x
C
h(x) = 80x + 560
D
h(x) = 80x2 + 560
25

Yolanda wanted to see if there was a connection between red hair and green eyes. She observed people walking past her on the street and noted their hair and eye color.Red Hair Green eyes: 18 Eye color other than green: 29Hair Color Other Than Red Green eyes: 114 Eye color other than green: 650Consider the relative frequency table.

Question illustration
A
x = 14%
B
x = 15%
C
x = 16%
D
x = 18%
26

Which equation represents the function f(x) = (1.6)x after it has been translated 5 units up and 9 units to the right?

A
g(x) = (1.6)x + 5 − 9
B
g(x) = (1.6)x + 5 + 9
C
g(x) = (1.6)x − 9 + 5
D
g(x) = (1.6)x + 9 + 5
27

Heather writes the equations below to represent two lines drawn on the coordinate plane.–6x + 18y = 0 4x – 12y = 20

A
The equation has no solution; therefore, the system of equations has no solution.
B
The equation has a solution at (0, 60); therefore, the system of equations has a solution at (0, 60).
C
The equation has infinite solutions; therefore, the system of equation as infinite solutions.
D
The equation has a solution at (0, 0); therefore, the system of equations has a solution at (0, 0).
28

The table can be used to determine the solution of equations, 2x − 2y = 6 and 4x + 4y = 28.Which solution can be used to fill in both blanks in the table?

Question illustration
A
(2, 5)
B
(5, 2)
C
(5, −8)
D
(−8, 5)
29

Which is the graph of g(x) = – 2?

Question illustration
A
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 2.25)
Option A
B
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 0.44)
Option B
C
On a coordinate plane, an exponential function decreases from quadrant 2, through quadrant 3, into quadrant 4 and approaches y = negative 2. It crosses the y-axis at (0, negative 1)
Option C
D
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 2. It crosses the y-axis at (0, 3)
Option D
30

Which function represents exponential growth?

A
f(x) = 3x
B
f(x) = x3
C
f(x) = x + 3
D
f(x) = 3x
31

The equation for the line of best fit is f(x) ≈ 1.8x − 5.4 for the set of values in the table.

Question illustration
A
14
B
20
C
45
D
54
32

Triangle DEF was tranformed to create triangle D'E'F'. Complete the statement about the transformation.

Question illustration
A
point D.
B
point E'.
C
point F.
D
point E.
33

The graph shows the relationship between the price of frozen yogurt and the number of ounces of frozen yogurt sold at different stores and restaurants.

Question illustration
A
1.5
B
2
C
13
D
15.5
34

Which statements about the system are true? Select two options.y = x – 43y – x = –7The system has one solution. The system consists of parallel lines.Both lines have the same slope. Both lines have the same y–intercept.The equations represent the same line.

Question illustration
A
The system has one solution.
B
The system consists of parallel lines.
C
Both lines have the same slope.
D
Both lines have the same y–intercept.
E
The equations represent the same line.
35

Ms. Barnsley separates her class into two groups. She gives each student the same 25-question math quiz. Group A uses a calculator, while Group B does not. The table shows the completion times, in minutes, of students in each group. Which statement is true about the distributions of completion times?

Question illustration
A
The students in Group A tended to complete the quiz in less time.
B
The median of Group A is greater than the median of Group B.
C
The means of both groups are about the same.
D
The standard deviation of Group B is less than the standard deviation of Group A.
36

A line of best fit is drawn for the set of points shown on the graph.

Question illustration
A
(23, 30)
B
(30, 38)
C
(44, 30)
D
(30, 72)
37

The table shows the shoe sizes of women of different ages.

Question illustration
A
a weak positive correlation
B
a strong positive correlation
C
a weak negative correlation
D
a strong negative correlation
38

Adita has two options for how to invest $1,000.Plan A: Put the $1,000 in an account that pays $100 per year.Plan B: Put the $1,000 in an account that pays 5 percent interest per year.Which statement is true?

A
Plan A will be worth more than plan B after two years.
B
Plan A will be worth the same amount as plan B after one year.
C
Plan B will be worth more than plan A after three years.
D
Plan B will be worth more than plan A after four years.
39

An account is opened with $7,595.96 with a rate of increase of 2% per year. After 1 year, the bank account contains $7,746.90. Assuming no deposits or withdrawals are made, which equation can be used to find y, the amount of money in the account after x years? (Round money values to the nearest penny.)

A
y = 7,746.90(1.02)x
B
y = 7,746.90(0.02)x
C
y = 7,595.96(1.02)x
D
y = 7,595.96(0.02)x
40

Which is the initial value that shrinks an exponential growth function by 50%?

A
One-fifth
Option A
B
One-fourth
Option B
C
One-third
Option C
D
One-half
Option D

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