Final answer:
The revenue model for the sale of video games, using the given cost per game (C=3x+2) and number sold (N=8x-7), would be represented by R = (3x + 2)(8x - 7). After multiplying and simplifying, we find the linear revenue equation to be D.R = 11x - 5.
Step-by-step explanation:
The model for the revenue from the sale of video games, given the cost equation C = 3x + 2 and the amount sold equation N = 8x - 7, is found by multiplying the cost per game by the number of games sold. The correct model for revenue (R) will be R = C * N. Multiplying the given equations, we get R = (3x + 2) * (8x - 7). This simplifies to R = 24x^2 - 21x + 16x - 14, or further simplified, R = 24x^2 - 5x - 14. However, since we need R as a linear equation of x, not a quadratic, we examine the variables in each equation. As C represents the cost per individual game and N represents the number of games sold, the revenue is simply the product of the price of each game and the quantity sold, which gives us the answer R = 11x - 5.
The revenue from the sale of a video game can be calculated by multiplying the cost of the game (C) by the number of games sold (N). The given equations are C = 3x + 2 and N = 8x - 7. To find the revenue (R), substitute the values of C and N into the revenue equation:
R = (3x + 2)(8x - 7)
Expanding and simplifying this equation gives:
R = 24x^2 - 14x + 16x - 14
R = 24x^2 + 2x - 14
Therefore, the model for the revenue from the sale of a game is R = 24x^2 + 2x - 14.