Find and interpret the constant of proportionality in multiple representations.
Write an equation that shows k
Problem
A table pairs hours worked \(h~=~1,~2,~5,~\text{and}~8\) with dollars earned \(d~=~14,~28,~70,~\text{and}~112\). Write the equation in the form \(d~=~\text{kh}\) and state the value of \(k\).
Big Picture
What this problem is really about
Dollars earned is the output and hours worked is the input, so the requested equation must place d alone and multiply h by k. We’ll divide dollars by hours in a table row to find the hourly constant, insert it into d equals kh, and test the rule against another row. No added term is needed for a proportional table.
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