Linear Functions: 1. In economics, the demand for a product is the amount of that product that consumers are willing to buy at a given price. The quantity demanded of a product usually decreases if the price of that product increases. Suppose that a company believes there is a linear relationship between the demand for its product and its price. The company knows that when the price of its product was $3 per unit, the quantity demanded weekly was 500 units, and that when the unit price was raised to $4, the quantity demanded weekly dropped to 300 units. Let D represent the quantity demanded weekly at a unit price of p dollars. a. Find a formula for D in terms of p. b. Give an economic interpretation of the slope of the function you found in part a). Find D when p = 0. EXLAIN what is going on here at this exact point. C.

Survey Of Economics
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ISBN:9781337111522
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Chapter1: Introducing The Economic Way Of Thinking
Section1.A: Applying Graphs To Economics
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Linear Functions:
1. In economics, the demand for a product is the amount of that product that consumers are willing to
buy at a given price. The quantity demanded of a product usually decreases if the price of that
product increases. Suppose that a company believes there is a linear relationship between the
demand for its product and its price. The company knows that when the price of its product was $3
per unit, the quantity demanded weekly was 500 units, and that when the unit price was raised to
$4, the quantity demanded weekly dropped to 300 units. Let D represent the quantity demanded
weekly at a unit price of p dollars.
Find a formula for D in terms of p.
b. Give an economic interpretation of the slope of the function you found in part a).
Find D when p
d. What would be the demand if the price was -1, or that they were paying people to take their
product? Explain how and if this makes sense.
а.
0. EXLAIN what is going on here at this exact point.
С.
Transcribed Image Text:Linear Functions: 1. In economics, the demand for a product is the amount of that product that consumers are willing to buy at a given price. The quantity demanded of a product usually decreases if the price of that product increases. Suppose that a company believes there is a linear relationship between the demand for its product and its price. The company knows that when the price of its product was $3 per unit, the quantity demanded weekly was 500 units, and that when the unit price was raised to $4, the quantity demanded weekly dropped to 300 units. Let D represent the quantity demanded weekly at a unit price of p dollars. Find a formula for D in terms of p. b. Give an economic interpretation of the slope of the function you found in part a). Find D when p d. What would be the demand if the price was -1, or that they were paying people to take their product? Explain how and if this makes sense. а. 0. EXLAIN what is going on here at this exact point. С.
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