mandy8616
Answered

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Which table represents a linear function?
х
X
1
у
1
х
1
y
7
1
y
1
2
1
1
2
2
2
3
4
9
13
21
3
1ż
1
2
1
3
1
4
3
4
2
O
4
Х
1
у
0
2
3
4.
6
16
30

Which Table Represents A Linear Function Х X 1 У 1 Х 1 Y 7 1 Y 1 2 1 1 2 2 2 3 4 9 13 21 3 1ż 1 2 1 3 1 4 3 4 2 O 4 Х 1 У 0 2 3 4 6 16 30 class=

Sagot :

ahopper13
The first one, 1/2, 1, 1 1/2, etc.
facundo3141592

By computing the difference between consecutive y-values of the table, we can see that the one that represents a linear function is the first one (from the left).

How to identify the linear function?

A linear function is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Notice that if we evaluate this in x + 1, we get:

y = a*(x + 1) + b = (a*x + b) + a.

So for each increase of 1 unit in the x-variable, we must have an increase of a units in the y-variable.

So you need to see that the difference between the consecutive values of y on the tables is a constant. The only table that meets this condition is the first one, where the common difference is 0.5, so the table that represents a linear function is the first one (from the left).

If you want to learn more about linear functions, you can read:

https://brainly.com/question/4074386

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