Unit Test — Unit test Answers

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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
2
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Lionel plays trumpet for a minimum of 45 minutes on the days that he practices. If x is the number of days that Lionel practices and y is the total number of hours he spends practicing, which inequality represents this situation?

A
mc012-1.jpg
Option A
B
mc012-2.jpg
Option B
C
mc012-3.jpg
Option C
D
mc012-4.jpg
Option D
3

Question text not available

Question illustration
A
direct variation; k = 2
B
direct variation; k =
Option B
C
inverse variation; k =
Option C
D
inverse variation; k = 2
4

A movie theater is giving away a souvenir poster to any customer with a concession stand receipt that exceeds $60. The theater sells a bag of popcorn for $6 and bottle of soda for $3.50. Let x represent the number of bags of popcorn, and let y represent the number of bottles of soda. Which linear inequality can be used to find the quantities of popcorn and soda that should be purchased to receive a poster?

A
mc008-1.jpg
Option A
B
mc008-2.jpg
Option B
C
mc008-3.jpg
Option C
D
mc008-4.jpg
Option D
5

Which statements about Jakita’s conclusion are true? Select two options.

A
The points actually represent an inverse variation.
B
The k value of the direct variation is actually 2.
C
The ordered pairs can be represented by the function y = .
Option C
D
The ordered pairs can be represented by the function y = .
Option D
E
As one quantity increases, the other also increases.
6

A salesperson is paid a flat rate plus a fixed percentage of her sales. Last month, she sold $16,000 worth of goods and was paid $1,600. Two months ago, she had $12,000 in sales and was paid $1,400. This month she sold $11,000 worth of goods. How much will she be paid?

A
$550
B
$855
C
$1,100
D
$1,350
7

A landscaper estimates that a set of plants can be installed in 6 hours by 12 workers. The landscaper wants to finish a set of plants in 4 hours. Assuming that the variables are inversely related, how many workers should the landscaper bring to the job?

A
8
B
10
C
14
D
18
8

The scatterplot shows the distance (in feet) that a person was from a motion sensor during an experiment in math class. Use the labeled points to create a linear model. About what distance in feet (y) would a person be 8 seconds after the experiment begins?

Question illustration
A
21 ft
B
27 ft
C
30 ft
D
57 ft
9

Which inequality is graphed below?

Question illustration
A
mc023-2.jpg
Option A
B
mc023-3.jpg
Option B
C
mc023-4.jpg
Option C
D
mc023-5.jpg
Option D
10

When x = 2, y = 50 and when x = 4, y = 100. Which direct variation equation can be used to model this function?

A
xy = 100
B
xy = 400
C
y = 25x
D
y = 100x
11

Which equation represents an inverse variation function that passes through the points (4, 5) and (10, 2)?

A
y =
Option A
B
y =
Option B
C
y = 20x
D
y =
Option D
12

Which graph represents ?

Question illustration
A
mc025-2.jpg
Option A
B
mc025-3.jpg
Option B
C
mc025-4.jpg
Option C
D
mc025-5.jpg
Option D
13

An inverse variation function has a k value of 8. Which ordered pair is on the graph of the function?

A
(0, 8)
B
(16, 2)
C
(3, 24)
D
(4, 2)
14

In a function, y varies inversely with x. The constant of variation is 4. Which table could represent the function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

Question text not available

Question illustration
A
direct variation; k = −2
B
direct variation; k =
Option B
C
inverse variation; k = −2
D
inverse variation; k =
Option D
16

A parking garage charges $5.50 to park for 4 hours and $7.75 to park for 7 hours. If the cost is a linear function of the number of hours parked, what is the cost to park for 3 hours?

A
$2.25
B
$2.50
C
$3.25
D
$4.75
17

If f(x) is parallel to the line , which function could be f(x)?

Question illustration
A
mc001-2.jpg
Option A
B
mc001-3.jpg
Option B
C
mc001-4.jpg
Option C
D
mc001-5.jpg
Option D
18

The amount of resistance, y, in a circuit varies inversely to the current, x, in the circuit. When 10 ohms of resistance are used in the circuit, 12 amperes of current are present. When 5 ohms of resistance are used in the same circuit, 24 amperes of current are present.

A
7.5 ohms
B
8 ohms
C
50 ohms
D
120 ohms
19

The table below shows the lengths and weights of six dolphins at an aquarium. Use the data from Pax and Snowflake to create a linear model that predicts the weight (y) of a dolphin given its length (x). Which dolphin’s weight differs most from the value predicted by this model?NameLength (ft)Weight (lb)Snowflake8.2549Shadow7.4501Corky8.4557Pax7.6519JoJo5.8460Blaze6.8488

A
Blaze
B
JoJo
C
Corky
D
Shadow
20

At 9:00 a.m. Monday morning, Thomas fills a beaker with water and places it in the corner of the classroom. At 1:00 p.m. on Tuesday, Thomas examines the beaker and notices that the water level is 42 milliliters. At 11:00 a.m. on Wednesday, the water level has dropped to 31 milliliters. If the evaporation of the water follows a linear function, at what time will the beaker be empty?

A
1:00 a.m. on Thursday
B
2:30 a.m. on Thursday
C
1:00 a.m. on Saturday
D
6:00 a.m. on Saturday

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