I do a little coyote hunting and scope choice has alot to do with your terrain, calling style or not calling. I'd say 90 % of my coyotes are killed under 100 yard and most of those under 50. I regularly hunt, NM, AZ, NV, WA and some in CO. Even in open country I just get to watch them come in farther. I have a couple rifles with 2-12's and 2.5-10's on them basically set up for open country and have yet to have to take them off the lowest power to kill coyotes. My goto scopes for most of my coyote hunting are 1-4x20mm on combo guns and 1.5-6x40's on bolt and AR's 20P(AR), 222 Rem, 223, 22-204, 6X45 and 6mm-204. My 20P bolt and 22-250 bolt wear the 2-12 and 2.5-10. I do have a 2-7 Leupold compact on a Sako Fullstock Vixen but that is just because everything else looks odd on it, still kills coyotes. 4x or 6x easily takes me to 300 yards.
22-204 1.5-6 Burris
223 1.5-6 Konus
222 Rem 1.5-6 Meopta
6.5 G 1.5-6 Meopta
22 Mag 1.5-6 Burris 4X
Forgot about a old Balvar8 I put on a 22-250 last year killed this one at 20 yards on 2.5x
20 Practical 2-12 Athlon
Then there are time we call them in close enough to kill with out a scope. The rancher asked me to kill a coyote that was harassing his calves I didn't have a rifle along but had a couple rounds of Nickle Plated BB's.
I Think that while a straight 10x will work it does put you at a disadvantage if your calling coyotes.
I did mention combo guns
12ga/5.6x52R 1-4 Nikon