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

Answers

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
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.
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
dentify the mapping diagram that represents the relation and determine whether the relation is a function.

{(-1, -9),(0, -9), (4, -9), (5, -9)}
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
Answered by GPT 3.5
The rule that represents this function is E. y = 3x.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
The function rule for the cost C(n) of the first n cans would be the cost per can multiplied by the number of cans, minus the coupon amount.

In this case, the cost per can is $1.25, and the coupon amount is $2.25.

Therefore, the function rule for the first n cans is:

C(n) = 1.25n - 2.25

The correct answer is E. C(n) = 1.25n - 2.25.

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