Determine whether the relationship between the two quantities is proportional. Explain.
2 answers:
Answer: OPTION B.
Step-by-step explanation:
The equation of a line that passes through the origin has this form:
Where "m" is the slope of the line.
By, definition, Proportional relationships have the following form:
Where "k" is the Constant of proportionality.
Therefore, the graph of a Proportional relationship is a straight line that passes through the origin. Then:
As you can observe in the picture attached, if you connect the ordered pairs shown in the graph, you get a line that does not pass through the origin.
Therefore, you can conclude that the relationship between those two quantities is not proportional.
You might be interested in
This is a way to factoring trinomials (there exist different equivalent methods).
Multiply the trinomial but the term accompanying . This is the second line. Then, you could take the square of the
, ant try to create a factor () () that will correspond to the expression in the second line. That is, we want
In ? we put the corresponding numbers that, if we multiply them we will obtain 42, and if we add them we will obtain 13. This numbers are 6 and 7. Then, we have
The last step is divide by the number that we multipy in the first step.