Answer: equation 3x (-4) = -12 has a solution of x = 1, which can be represented on the number line between -2 and -3.
Step-by-step explanation: Based on the number line and the answer choices provided, it appears that the equation modeled on the number line is:
C) 3x (-4) = -12
This equation can be interpreted as "what number multiplied by 3 and then multiplied by -4 will give a result of -12". Solving for x, we get:
3x (-4) = -12
-12x = -12
x = -12/-12
x = 1
Therefore, the equation 3x (-4) = -12 has a solution of x = 1, which can be represented on the number line between -2 and -3.