This graph shows a proportional relationship.



What is the constant of proportionality?

Enter your answer as a ratio in simplified form by filling in the boxes.

This graph shows a proportional relationship What is the constant of proportionality Enter your answer as a ratio in simplified form by filling in the boxes class=

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Answer:

k=[tex]\frac{9}{8}[/tex]

Step-by-step explanation:

k=y/x

k=[tex]\frac{\frac{3}{4} }{\frac{2}{3} }[/tex]

k=[tex]\frac{9}{8}[/tex]

The constant of proportionality is equal to 9/8.

Proportionality relationship

The proportionality relationship between two factors is related to the value that one of the factors multiplies to become the other, so that:

                                                    [tex]a = k \times b[/tex]

Where K would be the proportionality constant.

Thus, to find the constant of the question, it is enough to relate the values ​​as shown above, so that:

                                                 [tex]\frac{3}{4} = k \times \frac{2}{3}[/tex]

                                                 [tex]k = \frac{3}{\frac{4}{\frac{2}{3} } }[/tex]

                                                  [tex]k = \frac{9}{8}[/tex]

So, the proportionality constant is equal to 9/8.

Learn more about proportionality in: brainly.com/question/11263238

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