Question

What is the constant of proportionality of y to x?

Answer 1

Answer: k=2.5

Step-by-step explanation:

1. As you can see in the graph, when x increases, y also increases at the same rate, therefore, it is a direct proportion that has the following form

$y=kx$

2. Choose one of the points shown in the graph, substitute it into the expression and solve for k, which is the constant of proportionality, as following:

$10=k*4\\k=2.5$

Answer 2

Answer:

2.5

Step-by-step explanation:

We are given a graph with a positive slope where the value of y increases when the value of x increases.

For the given graph, we are to find the constant of proportionality of y to x which is the slope of the given line.

We know the formula of the slope = $\frac{y_2-y_1} {x_2-x_1}$

Substituting the given values in the formula:

$\frac{15-10}{6-4} = \frac{5}{2} = 2.5$