Answer: The explanatory variable goes in the horizontal axis.
Step-by-step explanation:
The explanatory variable is the variable that can be manipulated in an experiment. This is also called (and more commonly) the independent variable. This is the variable we usually "input" in a system, with the objective of observing the change in the response variable (also called the dependent variable, because it depends on the independent variable).
Usually, we write the explanatory variable on the horizontal axis and the response variable on the y-axis.
Then the correct answer would be C: /.
This is only because m is defined ONLY as a response variable, there are a lot of experiments with two variables, where we can use each of the variables as the explanatory variable.
And also there are some cases where in order to make the graph easier to read, we do not use the explanatory variable in the horizontal axis, instead, we may use some transformation or something alike, but those are really special cases.
Answer:
1. In order for Pattern B to be linear, the common difference of the number of dots between each step should be constant. As it is not constant, the pattern is not linear.
2. In order for Pattern B to be exponential, the common ratio of the number of dots between each step should be constant. As it is not constant, the pattern is not exponential.
3. In order for Pattern B to be quadratic, its sequence of second differences must be constant.
First differences:

Second differences:

Therefore, as the sequence of second difference is constant, the patten is quadratic.
The function for pattern B is: 
(where x is the step number)
Answer:
That's strange wording.
Anyway as far as perfect cubes we have 10^3 = 1,000 and then the next cube is 1,331 which is 11^3
So basically you are asking what do we multiply 1,176 by, in order to get a perfect cube?
1,331 / 1,176 = 1.13180272108844
So, to make 1,176 a perfect cube, multiply it by 1.13180272108844
Step-by-step explanation: