Question

David has $80 to spend on video games. Used video games cost $10 each, and new video games cost $20 each. Write the equation in standard form that determines the number x of used video games and the number y of new video games he can buy and determine which of the following represents a possible combination of video games. Responses 10x 20y = 80 ; (7, 2) 10x 20y = 80 ; (7, 2) 10x - 20y = 80 ; (8, 0) 10x - 20y = 80 ; (8, 0) 10x 20y = 80 ; (2, 3) 10x 20y = 80 ; (2, 3) 10x - 20y = 80 ; (0, 4)

Answer 1

The equation that represents the number of used and new video games David can buy, given his budget of $80, is 10x + 20y = 80. The correct combination is (2, 3).

Step-by-step explanation:

The equation that represents the number of used video games (x) and the number of new video games (y) that David can buy, given his budget of $80, is:

10x + 20y = 80

We can then check which of the given combinations of (x, y) satisfy this equation:

(7, 2), (8, 0), (2, 3), (0, 4)

By substituting the values of x and y into the equation, we can determine if they satisfy it. The only combination that satisfies the equation is (2, 3), so the correct equation in standard form and the corresponding combination is:

10x + 20y = 80 ; (2, 3)