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

Substitute $x=15$ into $3x+5y>80$:
$3(15)+5y>80$

Step2: Calculate 3*15 and simplify

Calculate the product and rearrange:
$45+5y>80$
$5y>80-45$
$5y>35$

Step3: Solve for y

Divide both sides by 5:
$y>\frac{35}{5}$
$y>7$

Step4: Find minimum integer y

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

Answer:

D. 8