The table shows the number of days required to perform a given number of chores. The number of days varies directly with the number of chores. What is the constant of variation?
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Answer: 0.5
Step-by-step explanation:
Given : The number of days varies directly with the number of chores in the given table.
The equation of direct variation is given by :-
[tex]y=kx[/tex], where k is the constant of variation.
For the first row , put x= 2 and y = 1 in the above equation , we get
[tex]1=k(2)\\\\\Rightarrow\ k=\dfrac{1}{2}=0.5[/tex]
Therefore , the constant of variation : k=0.5