Price difference between smaller car and larger car: $15000
Lifetime of car: 8 years
Frequency the larger car is needed: once per month
Additional time to pick up and drop off rental: 3 hours
Money saved per hour: $52
So it seems that if someone values their time more than ~$50/hour, they should buy the larger vehicle.
Edit: Forgot to take into account the rental fee: $150
Money saved per hour: $2
It looks like it doesn't make sense to rent, as buying would allow the convenience of using the larger vehicle any time, especially if it is more than once a month.