To model the equation y = 3x - 4, Caroline made the table shown below. Which value did Caroline incorrectly record on the table?

Question

(1 point)
Responses

-2
-2

11
11

0
0

-7

Answer 1

To check which value Caroline incorrectly recorded in her table for the equation $y=3x-4$, we can calculate the values of $y$ for the corresponding $x$ values.

Let's evaluate the equation for the given $x$ values:

1. For $x=-2$: $$y=3(-2)-4=-6-4=-10$$

2. For $x=0$: $$y=3(0)-4=0-4=-4$$

3. For $x=-7$: $$y=3(-7)-4=-21-4=-25$$

4. It seems the second value $11$ is not paired with an $x$ value. To find $x$ with $y=11$: $$11=3x-4⟹3x=11+4⟹3x=15⟹x=5$$

Now that we have calculated the $y$ values corresponding to $x$, we have:

• $x=-2$ gives $y=-10$ (not -2)
• $x=0$ gives $y=-4$ (not 0)
• $x=-7$ gives $y=-25$ (not -7)
• $x=5$ gives $y=11$ (this is correct)

From these calculations, the incorrect values recorded in Caroline's table are $-2$, $0$, and $-7$ for their respective $x$ values.

However, if you're looking for the individual incorrect values for the $x$ values represented in the original options, the answer appears to be $-2$ because it's mentioned as the incorrect value in the provided responses.

So, to conclude, the incorrect value recorded by Caroline is -2.