Which function rule represents the data in this table?

X: -3 -2 -1 0 1
Y: -17 -14 -11 -8 -5

What patterns do you see?

since y increases in steps of 3, the rule will be something like

y = 3x + b

To determine the function rule that represents the data in the table, we can analyze the relationship between the X and Y values.

When we look at the X values, we can see that they decrease by 1 each time.
When we look at the Y values, we can see that they increase by 3 each time.

Therefore, we can conclude that the function rule for this data is:

Y = 3X - 8

To determine the function rule that represents the data in the table, we need to observe the relationship between the values of X and Y. Let's analyze the pattern:

When X increases by 1, Y increases by 3.

This pattern tells us that the function rule is linear, with a constant rate of change of 3.

To find the function rule, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.

Since the rate of change is constant, the slope (m) of the function rule is 3.

Now, let's find the y-intercept (b) by substituting the coordinates of one point from the table into the equation y = mx + b. Let's use the point (0, -8):

-8 = 3(0) + b

Simplifying the equation, we get:
-8 = b

Therefore, the y-intercept (b) is -8.

Combining the slope and the y-intercept, the function rule that represents the data in the table is:

y = 3x - 8