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Answer:
<em>The table shows a proportional relationship: YES</em>
<em>The constant of proportionality is k=7</em>
<em>y = 7x</em>
Step-by-step explanation:
<u>Proportions</u>
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
y = kx
Where k is the constant of proportionality. It can be calculated by solving the equation for k:
We are given a table with 4 pairs of values. If the relationship between the variables is proportional, then the ratio y/x should be constant.
Let's verify some points:
Since all the ratios are equal,
The table shows a proportional relationship: YES
The constant of proportionality is k=7
The equation for the relationship is
y = 7x