Question

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.

Answer 1

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.

Answer 2

Wrong.

Answer 3

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.