A farmer has \(2\) acres of field. Initially, the farmer used \(6\) cows to graze the field. It takes \(10\) days to graze the entire field. Later, to speed up the process, the farmer used more cows to graze the field as shown below.
| Number of cows (\(x\)) | \(6\) | \(10\) | \(12\) | \(15\) | \(20\) |
| Number of days (\(y\)) | \(10\) | \(6\) | \(5\) | \(4\) | \(3\) |
(i) Find the type of variation
And the constant of variation.
(ii) Fnd the number of days it takes for \(3\) cows to graze the entire field.
(iii) Find the number of cows it takes to graze the field in \(12\) days.