By analyzing past episodes of the quiz show, you realize that you will probably need 600 points to defeat Kimberly. You also notice that, on average, you only feel confident enough to respond to 12 of the 20 questions on a typical episode. So, if you respond to only 12 questions when you’re on the show, which two equations describe your winning scenario? Select all the correct answers. 100x − 200y = 600 x + y = 600 100x − 200y = 12 x − y = 600 x + y = 12

100x − 200y = 600 and x + y = 12

Explanation:You can win the quiz show with 600 points. Remember that correct responses are worth 100 points and incorrect responses are worth -200 points. So, you need your total points from each correct response, x, minus your total points for each incorrect response, y, to equal 600:

100x − 200y = 600.

If you only respond to 12 questions, you need the total number of correct responses, x, plus the total number of incorrect responses, y, to equal 12:

x + y = 12.

Together, these two equations describe one way you can win.

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