Question

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

Explanation:

Step1: Substitute x=15 into inequality

$3(15) + 5y > 80$

Step2: Calculate 3×15

$45 + 5y > 80$

Step3: Isolate 5y term

$5y > 80 - 45$
$5y > 35$

Step4: Solve for y

$y > \frac{35}{5}$
$y > 7$

Step5: Find minimum integer y

Since y must be an integer, the smallest integer greater than 7 is 8.

Answer:

D. 8