@SarahGen-- I'm not an economist but I think that inflation is low in the beginning but rises as the economy grows very large. It's also closely linked with prices.
It's actually inevitable for there to be some inflation as the economy grows. As the demand for goods increase, prices go up. This causes inflation. If production is keeping up with demand and prices are stable, inflation will remain fairly constant. But usually, in an economy that is growing with increasing GDP, demand and supply don't remain constant for long. They fluctuate. Moreover, exchange rates can cause inflation too.
So I think it depends on the combination of all these factors rather than just GDP. I'm sure an economist can explain this better. Do we have any economy graduates here?