It's a bit expensive to get started, but a rack and weights will pay for itself in saved gym fees after a couple years, or a few months for 2 people somewhere expensive like SF. We managed to fit one back when my wife and I lived in 1 bedroom apartments.
> a rack and weights will pay for itself in saved gym fees after a couple years
That's been my solution.
If you take into account resale value, it'll actually pay itself off much faster - especially if you're willing to wait for good deals.
I think I was able to put together a full set of weights + another set of 45s for less than $1/lb. I'm using a cheap bar and a cheap rack, so the whole thing cost me less than $800.
I estimate that I could sell it all today for $600 for sure, and probably get back all my money if I was willing to wait 1-2 months.
The other big advantage of using a home gym is wait times; I used to go to a commercial gym, where the wait time for a rack was often more than 30 minutes at peak times. As long as you don't need machines (lat pulldown can be very nice), a rack at home can make gym time much more efficient.
I assume your parent was confused about notation. You can get 1x body weight squats (that is to say your actual body + 1x your body weight as additional load) by doing one legged squats off of a chair.
I don't understand where I'm wrong about the 2x bw though?
My thesis is that disregarding upper body gains, which can be compensated by other exercises, single leg squats will get you to 1x + 1x bw, which is 2x, with almost no gear at all.
You can also reasonably easily add about 2x15kg in dumbbells which is almost another 0,7x or so, making home training quite powerful.
> I don't understand where I'm wrong about the 2x bw though? ... single leg squats will get you to 1x + 1x bw, which is 2x
The disagreement is purely about notation.
In the strength world, people routinely ignore bodyweight when measuring squat intensity - they only list load weight. I suspect that this is, in large part, an effort to be consistent with other barbell exercises like Deadlift (which I mentioned earlier), Press, Bench Press, Row, etc. where including one's body weight wouldn't really make sense.
