Question

This graph models the number of teachers assigned to a school, as determined by the number of students. What is the constant of proportionality?
1/25
1/20
1/15
1/10

Answer 1

(60,4)(120,8)
slope = (8 - 4) / (120 - 60) = 4/60 = 1/15 <== the constant of proportionality is the slope

Answer 2

Answer:

The correct option is 3.

Step-by-step explanation:

Form the given figure it is noticed that the line is passing through the points (60,4) and (120,8).

$y\propto x$

$y=kx$

Where, k is the constant of proportionality or slope.

The slope of a line is defined as

$k=\frac{y_2-y_1}{x_2-x_1}$

$k=\frac{8-4}{120-60}$

$k=\frac{4}{60}$

$k=\frac{1}{15}$

Therefore option 3 is correct.