Acompany manufactures and sells video games. a survey of video game stores indicated that at a price of $66 each, the demand would be 400 games, and at a price of $36 each, the demand would be 1,300 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.)

Step-by-step explanation:

represent price per video game.

represent demand.

The linear equation in slope intercept form can be represented as:

where is slope of line or rate of change of demand of game per dollar change in price and is the y-intercept or initial price of game.

We can construct two points using the data given.

When price was $66 each demand was 400.

When price was $36 each demand was 1300.

Using the points we can find slope of line.

Using point slope form of linear equation to write the equation using a given point.

Using point .

⇒    [Using distribution]

Adding 400 to both sides:

⇒

⇒

The linear relationship between price and demand can be written as:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

the answer is d. 75%