How to get data of previous week in Laravel 5.1?

i want to get data inserted in previous week in Laravel 5.1
currently i am using following query:

$AgoDate=\Carbon\Carbon::now()->subWeek()->format('Y-m-d');  // returns 2016-02-03
$NowDate=\Carbon\Carbon::now()->format('Y-m-d');  // returns 2016-02-10
$query->whereBetween('created_on', array($AgoDate,$NowDate));

which returns last 7 days data,
but i need last week's data, means it should return data from (31st Jan to 6th Feb) i.e (Previous Week)

Note: In my case Week starts from Sunday and ends on Saturday

Please help me to sort out this issue.

Thanks.

via Chebli Mohamed