Question

josh’s final exam has true/false questions and multiple choice questions. the table below shows how many points each of these questions is worth.

	number of points each question is worth
multiple choice	4

let x be the number of true/false questions he gets correct.
let y be the number of multiple choice questions he gets correct.
josh needs at least 82 points on the exam to get an a in the class. using the values and variables given, write an inequality describing this.

Explanation:

Step1: Calculate true/false points

Each true/false question is worth 3 points, so total points from correct true/false questions is $3x$.

Step2: Calculate multiple choice points

Each multiple choice question is worth 4 points, so total points from correct multiple choice questions is $4y$.

Step3: Sum points and set inequality

Total points need to be at least 82, meaning the sum is greater than or equal to 82.
$3x + 4y \geq 82$

Answer:

$3x + 4y \geq 82$