Question

PLZ HELP!!! 100 points

A company manufactures and sells video games. A survey of video game stores indicated that at a price of $82 each, the demand would be 300 games, and at a price of $42 each, the demand would be 700 games. If a linear relationship between price and demand exists, which of the following equations models the price-demand relationship?

(Let x represent the price per video game and y represent the demand.)
A. y=-10x+1120
B. y=-10x+520

C. y=10x-520

D. y=10x

Answer 1

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Explanation:

Answer 2

1) in first place you need calculate the slope with the point given in the exercise, having two points A ( 82,300) and B (42, 700)

m = Y2-Y1 / X2-X1, m = 700-300 / 42-82 = 400/-40 = -10

now with the slope and the equation point -slope and the point ( 82,300)

Y-Y1 = m (X-X1) ⇒ Y-300 = -10(X-82) ⇒Y-300 = -10X+820⇒Y = -10X+820+300⇒Y = -10X+1120,THE CORRECT OPTION IS C