Use the table to answer the question.

Question

x
y

25 38
27 40
29 42
What equation represents the additive rule in the table?

(1 point)
Responses

y=x+13
y equals x plus 13

x=y+2
x equals y plus 2

y=x+2
y equals x plus 2

x=y+13
x equals y plus 13

Answer 1

To find the equation that represents the additive rule in the table, we can examine the relationship between the values of \(x\) and \(y\).

From the given points in the table:

• When \(x = 25\), \(y = 38\)
• When \(x = 27\), \(y = 40\)
• When \(x = 29\), \(y = 42\)

We can observe that \(y\) is consistently 13 greater than \(x\):

• \(38 = 25 + 13\)
• \(40 = 27 + 13\)
• \(42 = 29 + 13\)

Thus, we can express this relationship in the form of an equation:

\[ y = x + 13 \]

Therefore, the correct response is:

y = x + 13.