To find the constant of proportionality for this graph, we can first choose two points on the graph and calculate the ratio of their y-coordinates to their x-coordinates.
Let's choose the points (0,0) and (2,14). The ratio of their y-coordinates to their x-coordinates is:
(14-0)/(2-0) = 14/2 = 7
Similarly, if we choose any other pair of points, we will find that the ratio is also 7. Therefore, the constant of proportionality for this graph is 7.
the following plotted points: left parenthesis 0 comma 0 right parenthesis; left parenthesis 2 comma 14 right parenthesis; left parenthesis 4 comma 28 right parenthesis; left parenthesis 6 comma 42 right parenthesis; left parenthesis 8 comma 56 right parenthesis; left parenthesis 10 comma 70 right parenthesis; and left parenthesis 12 comma 84 right parenthesis.
Using the points shown in the graph, identify the constant of proportionality for this graph.
3 answers
Wrong.
I apologize for the incorrect response earlier. Let's try again.
To find the constant of proportionality, we can use the formula y = kx where y represents the dependent variable, x represents the independent variable, and k represents the constant of proportionality.
Let's choose two points from the graph, (2, 14) and (4, 28). Substituting these values into the formula, we get:
14 = k * 2
28 = k * 4
Dividing the second equation by 2, we get:
14 = 2k
Now we have two equations:
14 = k * 2
14 = 2k
They both simplify to:
k = 7
Therefore, the constant of proportionality for this graph is 7.
To find the constant of proportionality, we can use the formula y = kx where y represents the dependent variable, x represents the independent variable, and k represents the constant of proportionality.
Let's choose two points from the graph, (2, 14) and (4, 28). Substituting these values into the formula, we get:
14 = k * 2
28 = k * 4
Dividing the second equation by 2, we get:
14 = 2k
Now we have two equations:
14 = k * 2
14 = 2k
They both simplify to:
k = 7
Therefore, the constant of proportionality for this graph is 7.