On average, it takes an accountant 1 hour to complete a simple tax return and 4 hours to complete a complicated return. If the accountant wants to work no more than 8 hours per day, graph an inequality that shows the possible ways that simple returns ( x ) and complicated returns ( y ) can be completed each day. Graph the inequality for nonnegative values of x and y .

Question

Quizplus · Accepted Answer

The accountant wants to work no more than 8 hours per day, so we can write the inequality 1x + 4y ≤ 8. This means that the total time for completing simple returns (x) and complicated returns (y) must be less than or equal to 8 hours. We only want nonnegative values of x and y, so we graph the inequality in the first quadrant, which gives us the shaded triangle shown in choice C.

On Average, It Takes an Accountant 1 Hour to Complete