Question

Identify the constant of proportionality from the graph. A. 1/3 B. 9 C. 3 D. 6​

Answer 1

Answer:

C. 3

Step-by-step explanation:

The constant of proportionality is the slope (or rate of change) of the graph.

To find the equation of the graph;

Take points (1,3) and (3,9)

The slope (m) = change in y ÷ change in x

m = $\frac{9 - 3}{3 - 1} = \frac{6}{2} = 3$

Taking another point (x,y) on the graph;

m = $\frac{y - 3}{x - 1} = 3$

y - 3 = 3x - 3

y = 3x + 0

y = 3x

This can be expressed as;

y ∝ 3x

Which means that as y rises, x rises too but 3 remains the same. The value 3 is the constant of proportionality in this relationship.