Question

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?

Answer 1

Answer: 0.5

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 :-

`y=kx`, where k is the constant of variation.

For the first row , put x= 2 and y = 1 in the above equation , we get

`1=k(2)\\\\\Rightarrow\ k=(1)/(2)=0.5`

Therefore , the constant of variation : k=0.5

Answer 2

y = kx....with k being the constant of variation
(2,1)...x = 2 and y = 1
sub and solve for k
1 = 2k
1/2 = k <=== constant of variation is : 1/2