Tracy wants to earn at least 100 dollars from her two jobs next week. At most she can work 12 hours. Her first job pays 8 an hou
r and her second job pays 9 an hour. Let x represent the number of hours worked at the first job and y represent the number of hours worked at the second job. Which system of linear inequalities models tracy's equation
You didn't list the options from which we are to choose as your system of inequalities, but that doesn't matter...we'll come up with them on our own and then you can match them to your options. The first inequality is going to be about the number of hours worked. The second inequality is going to be about the money earned. Hours worked and money earned have to be in 2 different inequalities because they are not the same. If x is one job and y is the other, and the combination of these jobs cannot be more than 12 hours total, then the inequality for this is:
x + y ≤ 12
That represents the hours worked. As far as the money goes, she makes $8 per hour, x, at the first job, and $9 per hour, y, at the second job. She wants the combination of these wages to be at least $100. The inequality that represents the money earned is:
8x + 9y ≥ 100
That is the system that represents your situation.
