Answer:
k = 11.7
Explanation:
Constant of Proportionality
When two quantities y and x are proportional to each other, they are related by the proportionality equation
y = kx
where k is known as the constant of proportionality
The y axis is Money earned in $
x axis is time worked in hours
The relationship is y = kx and we are asked to find k
The constant of proportionality for this graph is nothing but the slope of the graph.
Slope can be found by taking any two points on the graph, determining the difference in y values and dividing by the difference in corresponding x values;
Two points have been chosen for us:
(3, 35.1) and (7, 81.9)
Difference in y values = 81.9 - 35.1 = 46.8 (also known as rise)
Difference in x values = 7 - 3 = 4 (also known as run)
Slope = k = rise/run = 46.8/4 = 11.7
Therefore k = 11.7