4.04 Two variable linear inequalities
Interactive practice questions
Applicants for a particular job are asked to sit a numeracy test and verbal reasoning test. Successful applicants must obtain a minimum combined score of $43$43 for both tests.
Let $x$x and $y$y represent an applicant’s score on the numeracy and verbal reasoning test respectively.
Write an inequality representing the relationship between $x$x and $y$y.
Throughout university, Luigi works as a mentor, getting paid $\$10$$10 per hour, and as a barista getting paid $\$13$$13 per hour. The number of hours he works in each job can vary from week to week, and he needs to be able to at least cover his weekly expenses of $\$260$$260.
In a team fitness competition, each team member must complete the course and the team’s total time in completing the course must be under $24$24 minutes. Women take on average $2.4$2.4 minutes and men take on average $1.6$1.6 minutes to complete the course.
Lisa is being careful with her spending so she can later purchase a house. She has allocated no more than $\$450$$450 each month for both travel expenses and eating out. On average, every time she eats out it costs $\$18$$18, and every travel journey costs $\$5$$5.