which function rule represents the data in the table below

x= -3,-2,-1,0,1
y= 1,-2,-5,-8,-11
a. y= -3x-8
b. y= 1/3x-8
c. y= 1/3+8
d. y= 3x +8
can someone please help me

The correct answer is d. y= 3x +8.

To see why, you can use the given values of x and y to check if they satisfy the equation. For example, when x=-3, y=3(-3) + 8 = -1, which matches the value given in the table. You can repeat this for all the other values of x and y, and they will all satisfy the equation y=3x+8.

On the other hand, the other answer choices do not match the pattern in the data. For instance, y=-3x-8 would result in positive values of y, which contradicts the negative values given in the table. Similarly, y=1/3x-8 and y=1/3+8 do not yield the correct values of y for the given values of x.