the questions in the first section on a test are worth 3 points and the questions in the second section are…

the questions in the first section on a test are worth 3 points and the questions in the second section are worth 5 points. let x represent the number of correct questions from the first section, and let y represent the number of correct questions from the second section. sydney earned more than 80 points on the test. the inequality representing her score is 3x + 5y>80. if sydney answered 15 questions in the first section correctly, what is the minimum number of questions she must have answered correctly in the second section? 1 2 7 8

the questions in the first section on a test are worth 3 points and the questions in the second section are worth 5 points. let x represent the number of correct questions from the first section, and let y represent the number of correct questions from the second section. sydney earned more than 80 points on the test. the inequality representing her score is 3x + 5y>80. if sydney answered 15 questions in the first section correctly, what is the minimum number of questions she must have answered correctly in the second section? 1 2 7 8

Answer

Explanation:

Step1: Substitute x value

Given (x = 15), substitute into (3x + 5y>80). So we get (3\times15+5y>80).

Step2: Simplify left - hand side

Calculate (3\times15 = 45), then the inequality becomes (45+5y>80).

Step3: Isolate the term with y

Subtract 45 from both sides: (5y>80 - 45), so (5y>35).

Step4: Solve for y

Divide both sides by 5: (y>\frac{35}{5}), so (y > 7). Since y represents the number of questions and must be an integer, the minimum value of y is 8.

Answer:

8