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
Not possible to determine.
Not possible to determine.
No, the sequence is NOT arithmetic.
No, the sequence is NOT arithmetic.
Yes, the sequence is arithmetic.
Yes, the sequence is arithmetic.
Question 2
Part B) What is the common difference?(1 point)
Responses
The common difference is 5
The common difference is 5
There is no common difference.
There is no common difference.
The common difference is 7
The common difference is 7
The common difference is 6
The common difference is 6
The common difference is 8
The common difference is 8
The common difference is 10
The common difference is 10
The common difference is 9
Part A) No, the sequence is NOT arithmetic.
Part B) There is no common difference.
Identify the mapping diagram that represents the relation and determine whether the relation is a function. {(-1, -9),(0, -9), (4, -9), (5, -9)} (1 point)
The mapping diagram for the relation {(-1, -9),(0, -9), (4, -9), (5, -9)} would look like:
-1 -> -9
0 -> -9
4 -> -9
5 -> -9
Since each input has only one corresponding output, the relation is a function.
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
104 millimeters
104 millimeters
113 millimeters
113 millimeters
74 millimeters
74 millimeters
94 millimeters
Part 1) The rule to represent the height of the bean sprout as an arithmetic sequence is A(n) = 5 + (n - 1)9.
Part 2) In 12 days, the bean sprout will be 104 millimeters tall.
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
C = 75h - 25
C = 75h - 25
C = 25h - 75
C = 25h - 75
h = 75C - 25
h = 75C - 25
C = 25h + 75
C = 25h + 75
h = 75C + 25
h = 75C + 25
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) The function rule for the total cost of the visit is C = 75h + 25.
Part 2) A reasonable graph of the function rule would show a linear relationship, with the x-axis representing the number of hours (h) and the y-axis representing the total cost (C). The graph would start at a y-intercept of 25 and slope upwards. It would have a maximum of 6 hours on the x-axis.