A particular balloon is designed by its manufacturer to be inflated to a volume of no more than 2.5 liters. The balloon is filled with 0.8 moles of a
gas and inflates to 2.0 liters. I add more gas untill have used 1.2 moles of
the gas, did the balloon burst?

the ideal gas law equation is as follows

pv = nrt

where p - pressure

v - volume

n - number of moles

r - universal gas constant

t - temperature

so if the pressure, volume and temperature are already known

we are left with n and r

since r is the universal gas constant that has a known fixed value then r too is known

so we are left with 'n'

once we know temperature volume and pressure

we can find the number of moles of gas present using the ideal gas law equation

this is not my own answer, this is an answer for the same question by the user blahblahmali. i do not claim ownership of this account.

the correct answer would be b) volume versus temperature, because they are also directly proportional.