The ordered pairs written below represent a function. What is the rule that represents this function?
(0,0)
(1,4)
(3, 12)
(5, 20)
A. x = y cubed
B. y = x squared
C. y = x cubed
D. y = x over 3
E. y = 3x
F. y = 4x squared
G. x = y over 3
H. x = 3y
I. y = 4x
The rule that represents this function is E. y = 3x.
he 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?
A. 108 cans
B. 27 cans
C. 0.8 cans
D. 1.25 cans
E. 144 cans
F. 3 cans
G. 99 cans
H. 180 cans
To find the number of cans of dog food needed for 15 dogs, we can substitute n = 15 into the function d(n) = 12n.
d(15) = 12(15)
d(15) = 180
Therefore, 180 cans of dog food are needed for 15 dogs.
The answer is H. 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?
A. Not possible to determine.
B. Yes, the sequence is arithmetic.
C. No, the sequence is NOT arithmetic.
To determine if the sequence is arithmetic, we can check if the differences between consecutive terms are the same.
9, 14, 20, 27,...
14 - 9 = 5
20 - 14 = 6
27 - 20 = 7
The differences are not the same, therefore, the sequence is NOT arithmetic.
The answer is C. No, the sequence is NOT arithmetic.
Part B) What is the common difference?
A. There is no common difference.
B. The common difference is 8
C. The common difference is 7
D. The common difference is 5
E. The common difference is 9
F. The common difference is 6
G. The common difference is 10
As explained in the previous response, the given sequence is not arithmetic, meaning there is no common difference.
The answer is A. There is no common difference.
dentify the mapping diagram that represents the relation and determine whether the relation is a function.
{(-1, -9),(0, -9), (4, -9), (5, -9)}
The mapping diagram representing the relation {(-1, -9), (0, -9), (4, -9), (5, -9)} would consist of arrows connecting the x-values to the corresponding y-values.
-1 ---> -9
0 ---> -9
4 ---> -9
5 ---> -9
To determine whether the relation is a function, we need to check if each input (x-value) is associated with exactly one output (y-value). In this case, every x-value (-1, 0, 4, 5) is associated with the y-value -9. Therefore, this relation is a function.
Answer: The relation is a function.
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.
A. C(n) = 1.25n + 2.25
B. C(n) = n
C. C(n) = 2.25n + 1.25
D. C(n) = 3.50n
E. C(n) = 1.25n - 2.25
F. C(n) = 2.25n - 1.25