Chapter R.1, Problem 8A

Elena needs to earn at least $450 a week during her summer break to pay for college. She works two jobs. One as a swimming instructor that pays $9 an hour and the other as an intern in a genetics lab for $22.50 per hour. How many hours does Elena need to work at each job to earn at least $450 per week? (a) Let x be the number of hours she works teaching swimming and let y be the number of hours she works as an intern. Write an inequality that would model this situation. (b) Graph the inequality. (c) Find three ordered pairs (x, y) that would be solutions to the inequality. Then, explain what that means for Elena.

]Body Mass Index (BMI) is a measure of body fat is determined using your heightand weight. (a) Let x be your BMI. Researchand then write the compound inequality to show the BMI range for you to be considered normal weight. (b) Research a BMI calculatorand determine your BMI. Is it a solution to the inequality in part (a)?