Below is the costs for the taxis owned by Mears (which is yellow cab, checker cab, city cab and safety cab co.)
It cost $2.00 for the first 2/7 of a mile or for 80 seconds of wait time, so if you take more than 80 seconds to load your luggage, you are already spending $2.00 and it is then .25 per 1/7 of a mile or 40 seconds of wait time. All that can add up. And as was pointed out, if you hit traffic or lots of lights, it keeps costing you.
When you do the math, the base cost of getting to the YC is approximately $40.00...and as Debbie pointed out, if you hit traffic or a lot of traffic lights, the cost can increase.