Question

What is the constant of proportionality in the table below?

Answer 1

Answer:  $\dfrac{2}{5}$

Step-by-step explanation:

The constant of proportionality 'k' between two variables ( one independent and one dependent ) is given by :-

$k=\dfrac{\text{Value of dependent variable}}{\text{Value of independent variable}}$

In the given table, independent variable = Days

Dependent variable = Total Miles

From first row,  Days = 3

Total Miles = $1\dfrac{1}{5}=\dfrac{6}{5}$

Then, the constant of proportionality in the table

$k=\dfrac{\dfrac{6}{5}}{3}=\dfrac{6}{5\times3}=\dfrac{2}{5}$

Hence, the constant of proportionality in the table is $\dfrac{2}{5}$ .