The table shows the relationship between the number of dancers on a team and the minutes each dancer gets to be on stage.
Is the relationship a function that is increasing or decreasing? Is the relationship a function that is linear or nonlinear?
Dancers
Minutes
10
40
11
35
12
30
13
25
(1 point)
Responses
decreasing; nonlinear
decreasing; nonlinear
decreasing; linear
decreasing; linear
increasing: nonlinear
increasing: nonlinear
increasing: linear
decreasing; nonlinear
The ordered pairs written below represent a function. What is the rule that represents this function?
(0,0)
(1,4)
(3, 12)
(5, 20)
(1 point)
Responses
y = x2
y = x squared
y = 4x2
y = 4x2
x = y3
x = y over 3
x = 3y
x = 3 y
y = 3x
y = 3 x
y = x3
y = x over 3
y = 4x
y = 4 x
x = y3
x = y cubed
y = x3
y = 4x
The animal shelter is buying dog food. The function d(n) = 12n represents the number of cans of dog food needed for n dogs. How many cans of dog food are needed for 15 dogs?(1 point)
Responses
0.8 cans
0.8 cans
3 cans
3 cans
144 cans
144 cans
180 cans
180 cans
27 cans
27 cans
108 cans
108 cans
99 cans
99 cans
1.25 cans
180 cans
Tell whether the sequence is arithmetic. If it is, what is the common difference?
9, 14, 20, 27,,....
Part A) Is the sequence arithmetic?
(1 point)
Responses
No, the sequence is NOT arithmetic.
No, the sequence is NOT arithmetic.
Yes, the sequence is arithmetic.
Yes, the sequence is arithmetic.
Not possible to determine.
Not possible to determine.
Question 2
Part B) What is the common difference?(1 point)
Responses
The common difference is 5
The common difference is 5
The common difference is 7
The common difference is 7
There is no common difference.
There is no common difference.
The common difference is 6
The common difference is 6
The common difference is 10
The common difference is 10
The common difference is 8
The common difference is 8
The common difference is 9
Part A) No, the sequence is NOT arithmetic.
Part B) There is no common difference.
A can of chicken noodle soup is on sale for $1.25 a can. You have a coupon for $2.25 off your total purchase.
Part 1) Write a function rule for the first of n cans.
(1 point)
Responses
C(n) = 2.25n + 1.25
C(n) = 2.25n + 1.25
C(n) = 2.25n - 1.25
C(n) = 2.25n - 1.25
C(n) = 3.50n
C(n) = 3.50n
C(n) = 1.25n - 2.25
C(n) = 1.25n - 2.25
C(n) = n
C(n) = n
C(n) = 1.25n + 2.25
C(n) = 1.25n + 2.25
Question 2
Part 2) How much would 11 cans of chicken soup cost?(1 point)
Responses
$26
$26
$10.00
$10.00
$23.50
$23.50
$11.50
$11.50
$10.50
$10.50
$11.00
$11.00
$16
Part 1) C(n) = 2.25n + 1.25
Part 2) $26
Bean sprouts grow very quickly. A bean sprout has grown to a height of 5 millimetrs. Tomorrow it will be 14 millimeters tall, the next day it will be 23 millimeters tall, and on the next day it will be 32 millimeters tall.
Part 1) Write a rule to represent the height of the bean sprout as an arithmetic sequence.
(1 point)
Responses
A(n) = 5 + (n - 1) 9
A(n) = 5 + (n - 1) 9
A(n) = 14 + (n - 1)9
A(n) = 14 + (n - 1)9
A(n) = 5 - (n - 1)9
A(n) = 5 - (n - 1)9
A(n) = 9n
A(n) = 9n
A(n) = 9 + (n + 1)5
A(n) = 9 + (n + 1)5
Question 2
Part 2) How tall will the bean sprout be in 12 days? (1 point)
Responses
108 millimeters
108 millimeters
113 millimeters
113 millimeters
94 millimeters
94 millimeters
74 millimeters
74 millimeters
104 millimeters
104 millimeters
Part 1) A(n) = 5 + (n - 1)9
Part 2) 113 millimeters
Scooby-Doo loves to eat Scooby Fruit Snacks and his favorite flavor is raspberry. His hunger level depends on the amount of Scooby snacks he eats.
What is the independent variable?
What is the dependent variable?
(1 point)
Responses
The independent variable is the raspberry fruit snacks. The dependent variable is the raspberry fruit snacks.
The independent variable is the raspberry fruit snacks. The dependent variable is the raspberry fruit snacks.
The independent variable is his hunger level. The dependent variable is the amount of Scooby Snacks he eats.
The independent variable is his hunger level. The dependent variable is the amount of Scooby Snacks he eats.
The independent variable is the amount of Scooby Snacks he eats. The dependent variable is his hunger level.
The independent variable is the amount of Scooby Snacks he eats. The dependent variable is his hunger level.
The independent variable is the raspberry fruit snacks. The dependent variable is the amount of Scooby Snacks he eats.
The independent variable is the raspberry fruit snacks. The dependent variable is the amount of Scooby Snacks he eats.
The independent variable is the raspberry fruit snacks. The dependent variable is his hunger level.
The independent variable is the raspberry fruit snacks. The dependent variable is his hunger level.
The independent variable is the amount of Scooby Snacks he eats. The dependent variable is raspberry flavor fruit snack
The independent variable is his hunger level.
The dependent variable is the amount of Scooby Snacks he eats.
A violinist charges $75 for a visit and an additional $25 for each hour she performs.
Part 1) What is the function rule if C represents the total cost of the visit and h represents the number of hours?
(1 point)
Responses
C = 75h + 25
C = 75h + 25
h = 75C + 25
h = 75C + 25
C = 75h - 25
C = 75h - 25
C = 25h - 75
C = 25h - 75
h = 75C - 25
h = 75C - 25
C = 25h + 75
C = 25h + 75
Question 2
Part 2) If the violist will only visit a maximum of 6 hours, what is a reasonable graph of the function rule?(1 point)
Responses
Part 1) C = 75h + 25
Part 2) A reasonable graph of the function rule would be a linear graph with a y-intercept of 25 and a slope of 75, going up at a constant rate.
What is the graph of this function rule?
y = |3x| - 2
(1 point)
Responses
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Apologies, but I am unable to generate a graph for you. However, I can describe the characteristics of the graph. The graph of the function y = |3x| - 2 will be in the shape of a V, with the vertex at (0, -2). The slope of the graph will be positive on the right side and negative on the left side. The line will intersect the x-axis at x = -2/3 and x = 2/3, and the y-axis at y = -2. The graph will also have symmetry about the y-axis.
Use the vertical line test to determine if the relation is a function.
Part 1) Is this relation a function?
(1 point)
Responses
No, it is not a function
No, it is not a function
There is not enough information to determine if it is a function.
There is not enough information to determine if it is a function.
Yes, it is a function.
Yes, it is a function.
Question 2
Part 2) If it is not a function, explain why. (1 point)
Responses
It is not a function because the x value (1) has two different outputs.
It is not a function because the x value (1) has two different outputs.
It is a function
It is a function
It is not a function because the x value (5) has two different outputs.
It is not a function because the x value (5) has two different outputs.
It is not a function because the x value (-4) has two different outputs.
It is not a function because the x value (-4) has two different outputs.
Part 1) No, it is not a function.
Part 2) It is not a function because the x value (1) has two different outputs.
Choose the graph that best represents each situation.(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
A tomato plant grows taller at a steady pace.
A tomato plant grows at a slow pace, then grows rapidly with more sun and water.
A tomato plant grows quickly at first, remains a constant height during a dry spell, then grows at a steady pace.
Apologies, but since I can only provide text-based responses, I cannot insert the correct graph for you. However, I can describe the graphs for each situation.
1) A tomato plant grows taller at a steady pace: The graph would show a straight line with a positive slope, indicating a consistent increase in height over time.
2) A tomato plant grows at a slow pace, then grows rapidly with more sun and water: The graph would show a gradual increase in height initially, followed by a steeper incline representing rapid growth with additional sun and water.
3) A tomato plant grows quickly at first, remains a constant height during a dry spell, then grows at a steady pace: The graph would show a steep incline at the beginning, followed by a horizontal line indicating no growth during the dry spell, and then a gradual increase in height at a steady pace afterwards.