When a stationary car is on the road, the weight of the car is transferred to the road through the tyres and they get flattened a little bit. When extra weight is added to this system, in the form of people getting in the car and/or material (or goods) being put in the vehicle, a greater amount of weight has to be transferred. This is what happens when Alison gets into her car. Now the tyres are required to support the weight of both the car and Alison and hence the tyre surface area in contact with the road increases. One can also think of this in terms of pressure (which is the ratio of force and area). As the weight of the car increases, the road-tyre contact area increases, thus keeping the ground pressure constant.
Hope this helps.
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