Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
6. Graphing Linear Inequalities in Two Variables
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Exercise 18 Page 253

Substitute the numbers of exercises done correctly into the inequality.

Yes

Practice makes perfect

We are given the following inequality. 3x+2y≥ 93 Since we know that x represents the number of multiple-choice questions and y represents the number of matching questions, coefficients of 3 and 2 have to represent the number of points you get for each respective type of question. 3x+ 2y≥ 93 Notice that the right-hand side of the inequality is equal to 93, which is the minimum number of points you need to obtain in total to get an A. 3x+2y≥ 93 In order to tell if you receive an A, we will substitute 20 for x and 18 for y, then we will check if the inequality holds true.

3x+2y? ≥ 93
3( 20)+2( 18)? ≥ 93
60+36? ≥ 93
96≥ 93 ✓

The score you get for 20 mutiple-choice and 18 matching exercises is equal to 96, which is greater than or equal to 93. Therefore, we will get an A.