Which function rule represents the data in the table? Show your work.
x -3 -2-1 0 1
y 1 -2 -5 -8 -11
A. y=-3x-8
B. y=1/3x-8
C. y=1/3x+8
D. y=3x+8
To find the function rule that represents the data in the table, we need to look for a pattern in how the values of y change as x increases or decreases.
We can see that each time x increases by 1, y decreases by 3. This tells us that the slope of the line (the rate at which y changes with respect to x) is -3.
Next, we can look for the y-intercept (the value of y when x is 0). From the table, we can see that when x is 0, y is -8. This gives us the point (0,-8) on the line.
Using the slope-intercept form of a linear equation (y=mx+b), where m is the slope and b is the y-intercept, we can write the equation for the line that passes through (0,-8) with a slope of -3:
y = -3x - 8
Therefore, the function rule that represents the data in the table is A. y=-3x-8.