If the problem only exists when starting, then yes, it’s likely a bad battery.
However, you’ll know if it’s a bad alternator fairly quickly, since a bad alternator will drain the battery to zero, wipe it out completely, and your car will die while driving. And that’s all she wrote after that. A tow will be needed. Good luck.
@sushiritto, that rules out an alternator issue then because after I got it started, that was it fine all the way to the campsite so the liklihood is a battery issue so does that mean it will likely not start again tomorrow?
Hopefully, no lights are dimming or dimmed in the interior.
Best case, your battery accidentally became drained somehow, maybe someone left an interior dome light on, like my kids do occasionally. And once the car does get started, a good alternator will recharge the battery within 30 +/- minutes, depending on the level of discharge. And you’re good to go for another 5 years.
If the battery becomes discharged again and wont start and you need another jump, then there’s probably another problem. If there’s a local Napa/O’Reilly’s/Interstate battery dealer near you, then they’ll can load test the battery to see if it can hold a charge. A full-fledged shop/mechanic can test the other parts of the electrical system, if you were to bring the entire car to them.
Not knowing your situtation or how remote the camping grounds are, the removal of the battery itself, is very easy to do with a few simple tools, like a socket set. And then someone can drive you to a nearby battery store for help.
Just curious, is your car German?
Its a Renault Clio.
OK, well, I’m not a French car expert. 
Are you in the U.S?
I would suggest you take your car to a mechanic. How many miles does it have on it? Maybe it’s due for a check up.
Unlikely that a Renault Clio is in the US.
At this point I don’t think you can trust the car, even if a jump-start or new battery works. Can you get a ride with another family?
Why would you take an unreliable car on a trip where you hope it will start?
You aren’t listening to the CC world telling you to take it to a mechanic.
No one here can diagnose the problem and fix it for you.
What is going to happen is that the problem will get worse and the cost will increase.
Get thee to a car engineer.
What part of “College Confidential” tells you that the posters are all experienced mechanics?