Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
Answer:
n = 7m
Step-by-step explanation:
The general equation of a direct proportional relationship is:
[tex]\boxed{\begin{array}{l}\underline{\textsf{Direct Proportionality Equation}}\\\\y=kx\\\\\textsf{where:}\\\phantom{ww}\bullet\;\;\textsf{$x$ is the independent variable.}\\\phantom{ww}\bullet\;\;\textsf{$y$ is the dependent variable.}\\\phantom{ww}\bullet\;\;\textsf{$k$ is the constant of proportionality.}\end{array}}[/tex]
In a proportional relationship, the ratio between y and x is constant.
In this case, m is the independent variable and n is the dependent variable. Therefore:
[tex]n = km[/tex]
To determine the equation that describes the proportional relationship between m and n, we need to identify the constant of proportionality (k).
Rearrange the equation to isolate k:
[tex]k=\dfrac{n}{m}[/tex]
Now, substitute the values from the table into the equation:
For m = 3 and n = 21:
[tex]k=\dfrac{n}{m} = \dfrac{21}{3} = 7[/tex]
For m = 5 and n = 35:
[tex]k=\dfrac{n}{m} = \dfrac{35}{5} = 7[/tex]
For m = 8 and n = 56:
[tex]k=\dfrac{n}{m} = \dfrac{56}{8} = 7[/tex]
Since the ratio n/m is constant and equal to 7, the relationship between m and n can be expressed by the equation:
[tex]\LARGE\boxed{\boxed{n = 7m}}[/tex]
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.