"If My Linode is Powered Off, Will I Be Billed? If your Linode is powered off, but is still added as a service on your account, you will still be billed for it. This is because Linode maintains your saved data and reserves your ability to use other resources like RAM, transfer, etc. even when your Linode is powered off. You will be billed for any other active Linode service, such as Longview Pro or an extra IP, as well."
[0] https://www.linode.com/docs/platform/billing-and-payments