which function rule represents the data in the table?
X | -3 | -2 | -1 | 0 | 1
Y | -17| -14 | -11 |-8 |-5
A: y=-3x-8
B: y=1/3x-8
C: y=3x-8
D: y=1/3x+8
C: y=3x-8
To determine which function rule represents the data in the table, we need to determine the pattern in the data.
If we look at the x-values and corresponding y-values in the table, we can see that for every increase of 1 in the x-value, the y-value increases by 3.
With this information, we can write the function rule as y = mx + b, where m represents the slope and b represents the y-intercept.
When the x-value increases by 1, the y-value increases by 3, so the slope (m) is 3.
Looking at the y-intercept, when x = 0, y = -8. Therefore, the y-intercept (b) is -8.
Putting it all together, the function rule that represents the data in the table is y = 3x - 8.
So, the correct answer is C: y = 3x - 8.