Final answer:
The consumer influence represented by buying an item to save money is Price, as it is closely linked to both the substitution effect and the income effect, involving changes in consumer behavior based on the alteration of costs.
Step-by-step explanation:
The consumer influence represented by the action of buying an item to save money is Price. This is because both the substitution effect and the income effect are directly related to changes in price. Whenever a good becomes cheaper or more expensive, consumers adjust their behavior accordingly. If a product's price decreases, consumers may buy more due to their increased buying power, which reflects the income effect. On the other hand, if a product's price increases, consumers might look for alternative goods, demonstrating the substitution effect. Furthermore, price elasticity can influence consumer behavior, particularly when it pertains to luxury items which may see a demand increase if the price is reduced.