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