When you buy your favorite type of chocolate you are charged by how much you wan

Question

When you buy your favorite type of chocolate you are charged by how much you want. The cost is therefore a function, because it depends on the number of ounces of chocolate you buy. That is, for each input (weight in ounces), there is one output (cost, say in dollars). By contrast the price of a house is not a function of the lot size on which a house is built because houses on the same size lot may sell for many different prices.

Describe an everyday situation between variables that is a function. Clearly explain why the relationship a function.

Describe an everyday situation between variables that is not a function. Clearly explain why the relationship is not a function.

Explanation / Answer

The price of a vegetable at a vendor is a function of quantity of vegetable we buy. (Here, please note, that price of the same vegetable can be different at different vendors. Still, they are a function of quantity).

In contrast, the price of a jeans is a function of brand. A denim jeans of the same size may sell at different prices for different brands.

Note for life: Generally, in real life, variables may be a function of lot of factors like brand, place, price of competitor, promotion, etc. with varying degrees. Some factors may play more role in determining the final price than others.

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