Final answer:
The stars in increasing order of main-sequence time are Star 4, Star 2, Star 3, and Star 1.
Step-by-step explanation:
In general, more massive stars have shorter lifetimes on the main sequence compared to less massive stars. From the given table, we can arrange the stars in increasing order of their main-sequence lifetime:
- Star 4 - Initial mass of 0.3 Solar masses
- Star 2 - Initial mass of 0.9 Solar masses
- Star 3 - Initial mass of 5 Solar masses
- Star 1 - Initial mass of 9 Solar masses
Therefore, the stars, in increasing order of the time for which they will stay on the main sequence, are Star 4, Star 2, Star 3, and Star 1.