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Your answer is wrong because when the price of the product increases, it the quantity demanded that changes, not the demand (note, demand and quantity demanded are totally different)
Things that change demand are:
1.)tastes or preferences of consumers
an increased taste in a product increases its demand
a decreased taste in a product decreases its demand
2.) number of consumers in the market
more consumers increases a products demand
fewer consumers decreases a products demand
3.) the money incomes of consumers
Superior goods or normal goods
As income increases, a superior good's demand increases
As income decreases, a superior good's demand decreases
Superior goods are most common goods
Inferior Goods
As income increases, an inferior good's demand decreases
As income decreases, an inferior good's demand increases
4.) prices of related goods
Substitute Goods
As price of A increases, demand for B increases
As price of A decreases, demand for B decreases
Example: Nike's and Reeboks
Complementary Goods
As price of A increases, demand for B decreases
As price of B decreases, demand for A increases
Example: computers and computer games; gasoline and motor oil
Independent Goods
As price of good A changes, demand for good B does not change
5.) consumer expectations about the future prices and incomes
if consumers expect a price increase in near future, demand increases
if consumers expect a price decrease in the near future, demand decreases
hope this clarifies a bit.