Answer: [tex]\dfrac{2}{5}[/tex]
Step-by-step explanation:
The constant of proportionality 'k' between two variables ( one independent and one dependent ) is given by :-
[tex]k=\dfrac{\text{Value of dependent variable}}{\text{Value of independent variable}}[/tex]
In the given table, independent variable = Days
Dependent variable = Total Miles
From first row, Days = 3
Total Miles = [tex]1\dfrac{1}{5}=\dfrac{6}{5}[/tex]
Then, the constant of proportionality in the table
[tex]k=\dfrac{\dfrac{6}{5}}{3}=\dfrac{6}{5\times3}=\dfrac{2}{5}[/tex]
Hence, the constant of proportionality in the table is [tex]\dfrac{2}{5}[/tex] .
