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

This graph models the number of teachers assigned to a school as determined by the number of students What is the constant of proportionality 125 120 115 110 class=

Respuesta :

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

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).

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

Where, k is the constant of proportionality or slope.

The slope of a line is defined as

[tex]k=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]k=\frac{8-4}{120-60}[/tex]

[tex]k=\frac{4}{60}[/tex]

[tex]k=\frac{1}{15}[/tex]

Therefore option 3 is correct.

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