Bot GPT 4-o mini To find the constant of proportionality in this relationship, we can use the formula for proportionality, which is:
\[ y = kx \]
where \( k \) is the constant of proportionality.
From the data provided:
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When \( x = 1 \), \( y = 5 \):
\[ k = \frac{y}{x} = \frac{5}{1} = 5 \] -
When \( x = 2 \), \( y = 10 \):
\[ k = \frac{y}{x} = \frac{10}{2} = 5 \] -
When \( x = 3 \), \( y = 15 \):
\[ k = \frac{y}{x} = \frac{15}{3} = 5 \] -
When \( x = 4 \), \( y = 20 \):
\[ k = \frac{y}{x} = \frac{20}{4} = 5 \]
In each case, the constant of proportionality \( k \) is 5.
Therefore, the constant of proportionality is 5.
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