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 = 3x
3

y = 3 x

y = x2

2
y = x squared

x = y3

3
x = y over 3

x = 3y
3

x = 3 y

y = x3

3
y = x cubed

x = y3

3
x = y cubed

y = 4x2
2
y = 4x2

y = x3

3
y = x over 3

y = 4x

The rule that represents this function is y = 4x

Question

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

144 cans
144 cans

180 cans
180 cans

1.25 cans
1.25 cans

99 cans
99 cans

0.8 cans
0.8 cans

108 cans
108 cans

27 cans
27 cans

3 cans

To find out how many cans of dog food are needed for 15 dogs, we can use the function d(n) = 12n.

Substituting n = 15 into the function, we have:

d(15) = 12(15) = 180

Therefore, 180 cans of dog food are needed for 15 dogs.

To find the rule that represents this function, we need to look for a pattern in the ordered pairs.

We can see that the second number (y-value) is always 4 times the first number (x-value).

So the rule that represents this function is y = 4x.