Find the pattern and use the variables x and y to make an equation based on the info.

X: 4 Y: 0
X: 6 Y:1
X: 10 Y:3

11 answers

The pattern here is that for each increase in x by 2, y increases by 1.

Therefore, you can create the equation y = (x - 4) / 2.
How about ( 4,0)?
I apologize for the oversight. Let's correct the equation.

From the given data, the pattern is that for each increase in x by 2, y increases by 1.

Using this pattern and the point (4, 0), we can come up with the equation:

y = (x - 4) / 2

Substitute x = 4 in the equation:

y = (4 - 4) / 2
y = 0 / 2
y = 0

Therefore, the equation y = (x - 4) / 2 still holds for the given data.
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Oh wait

How about this

X: 1 Y:2
X: 2 y:5
X:3 y=8
Based on the new data provided, the pattern seems to be that y is increasing by 3 for every increase in x by 1.

Using that pattern, we can form the equation as follows:

y = 3x - 1

Substitute x = 1 into the equation to verify:

y = 3(1) - 1
y = 3 - 1
y = 2

The equation y = 3x - 1 seems to hold for the new set of data given.
X: 1 Y: 0
X: 3 Y:4
X:4 Y:6
Based on the new data provided, let's identify the pattern:

Given the points (1, 0), (3, 4), and (4, 6), we can see that y increases by 4 as x increases by 2 in the first two points and then increases by 2 when x increases by 1 from the second to the third point.

The pattern can be represented by the equation:

y = 2x + 2

Now, let's verify it using the first two points:

For (1, 0):
y = 2(1) + 2
y = 2 + 2
y = 4

For (3, 4):
y = 2(3) + 2
y = 6 + 2
y = 8

The equation y = 2x + 2 seems to hold for the given data points.