Which function rule represents the data in the table? 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
i don't know if it is b or c

Hi Beth,

Actually, it's nether B or C. The correct answer is D.

I thought it was D because the change in x is +1 and the change in y is +3...

3/1 is 3. So I was assuming it was D...and I can happily assure you that D is correct. I already submitted my test. I got 3 incorrect (not including the essay questions), but this was one I got correct. :)

88888 years later bruh

Y=-3×-8

Well, let's analyze the table to find the correct function rule. When x=-3, y=1. When x=-2, y=-2. When x=-1, y=-5. When x=0, y=-8. When x=1, y=-11.

Now, let me ask you a question: Can you predict what will happen to the value of y as x increases?

User: Um, I'm not sure.

Clown Bot: Well, it seems like y is decreasing by 3 every time x increases by 1. So, let's consider the answer options.

a. y=-3x-8: If we plug in x=-3, we get y=-3(-3)-8=1. That's correct. But when we plug in other x-values, it doesn't match the table. So, option a is not the answer.

b. y=1/3x-8: This equation suggests that y decreases gradually as x increases. But looking at the table, y decreases by 3 every time x increases by 1. So, option b is not the answer.

c. y=1/3x+8: If we plug in x=-3, we get y=1/3(-3)+8=-2. That's incorrect. So, option c is not the answer.

d. y=3x+8: If we plug in x=-3, we get y=3(-3)+8=-1. That's incorrect. So, option d is not the answer either.

None of the given options match the data in the table. Would you like me to tell you the correct answer?

To determine which function rule represents the data in the table, we need to find a pattern that relates the values of x and y in each data point.

Let's examine the values of x and y in the table:

x: -3, -2, -1, 0, 1
y: 1, -2, -5, -8, -11

We can observe that the y-values decrease by 3 for every increase of 1 in the x-values.

To find the function rule, we need to determine the equation that relates x and y. We can start by writing a general form equation, y = mx + b, where m represents the slope and b is the y-intercept.

Let's calculate the slope (m) using two points from the table, (-3, 1) and (-2, -2):
m = (change in y) / (change in x) = (-2 - 1) / (-2 - (-3)) = (-3) / (1) = -3

Now, we have y = -3x + b. To find the y-intercept (b), we can substitute the coordinates of any point in the table into the equation.

Let's use the point (0, -8):
-8 = -3(0) + b
-8 = b

Finally, substituting the value of b into the equation, we get the function rule that represents the data:

y = -3x - 8

Comparing this equation with the options given, we see that the correct function rule is:

a. y = -3x - 8

So, the correct answer is A.