SAT Question 7d6928bd: Linear Inequalities answer and explanation with Desmos solution

Choice A is correct. It's given that the cleaning service cleans both offices and homes, where $f$ is the number of offices and $h$ is the number of homes the cleaning service can clean per day. Therefore, the expression $f+h$ represents the number of places the cleaning service can clean per day. It's also given that the cleaning service can clean at most $14$ places per day. Since $f+h$ represents the number of places the cleaning service can clean per day and the service can clean at most $14$ places per day, it follows that the inequality $f+h\le 14$ represents this situation.