Final answer:
The type of persuasion technique described in the question is the foot-in-the-door technique. It involves getting someone to agree to a small favor or purchase, and then later making a larger request. This technique is commonly used in sales and marketing.
Step-by-step explanation:
The type of persuasion technique described in the question is called the foot-in-the-door technique. This technique involves getting someone to agree to a small favor or purchase a small item, and then later making a larger request. In this case, the person is trying to persuade the mechanic to repair their car sooner. By initially asking for a small favor, such as providing an estimate or checking the car, the person is laying the groundwork to make the larger request of repairing the car sooner.
The foot-in-the-door technique is a commonly used method of persuasion in sales and marketing. For example, a store owner may use it to sell an expensive product by getting a customer to agree to smaller purchases first, such as accessories or add-ons, and then gradually moving towards the larger purchase. By getting the customer to agree to smaller requests, they are more likely to agree to the larger request of purchasing the expensive product.
By using the foot-in-the-door technique, the person attempting to persuade the mechanic is trying to increase their chances of getting their car repaired sooner by starting with a smaller request and gradually building up to the larger request.