wat is the rule of this?
x y
1 5
2 7
3 9
4 11
5 13
6 15
The given table shows a relationship between two variables, x and y. To determine the rule or pattern, we need to examine how the values change between x and y.
Looking at the table, we observe that as x increases by 1, y increases by 2. This means that the rule or pattern in this case is that y is equal to 2 times x, plus a constant value.
To confirm this, let's calculate y based on this rule:
- For x = 1, y = 2(1) + c
- For x = 2, y = 2(2) + c
- For x = 3, y = 2(3) + c
- For x = 4, y = 2(4) + c
- For x = 5, y = 2(5) + c
- For x = 6, y = 2(6) + c
From the given values in the table, we can substitute the corresponding x and y values to find the constant value, c:
When x = 1, y = 5 ➞ 5 = 2(1) + c ➞ 5 = 2 + c ➞ c = 5 - 2 ➞ c = 3
So, the rule for this table is y = 2x + 3.