1. If two nonvertical lines are parallel, what do we know about their slopes? If two lines are perpendicular and neither is parallel to an axis, what do we know about their slopes? Why must the lines be nonvertical? 2. Demand for an item is often closely related to its price. As price increases, demand decreases, and as price decreases, demand increases. Suppose demand for a video game is 2000 units when the price is $40 and is 2500 units when the price is $30. a. Let x be the price and y be the demand for the game. Graph the two given pairs of prices and demands. b. Assume that the relationship is linear. Draw a line through the two points from part (a). From your graph, estimate the demand if the price drops to $20. c. Use the graph to estimate the price if the demand is 3500 units.
1. If two nonvertical lines are parallel, what do we know about their slopes? If two lines are perpendicular and neither is parallel to an axis, what do we know about their slopes? Why must the lines be nonvertical?
2. Demand for an item is often closely related to its price. As price increases, demand decreases, and as price decreases, demand increases. Suppose demand for a video game is 2000 units when the price is $40 and is 2500 units when the price is $30.
a. Let x be the price and y be the demand for the game. Graph the two given pairs of prices and demands.
b. Assume that the relationship is linear. Draw a line through the two points from part (a). From your graph, estimate the demand if the price drops to $20.
c. Use the graph to estimate the price if the demand is 3500 units.
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