Find and interpret the constant of proportionality in multiple representations.
Use k to fill a missing value
Problem
A table shows a proportional relationship between \(x\) and \(y\). \(\text{One}~\text{row}\) is \(x~=~6\) and \(y~=~15\). Another row is \(x~=~10\) and \(y~=~\text{\_\_}\). Find the missing value.
The known pair determines the one multiplier used by every row of this proportional table. We’ll divide its y-value by its x-value to find k, substitute the target input into y equals kx, and place the resulting output in the blank. Dividing the completed row’s output by ten should reproduce the same constant.
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