One week, Madelyn earned $265.60 at her job when she worked for 16 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $199.20?

12 hours

Step-by-step explanation:

1. Start by dividing $265.60 by 16 hours to calculate the amount earned per hour.

$265.60 / 16 hours = $16.60/hr

2. Now, divide the new amount earned by her hourly wages (16.60)

199.20/16.60 = 12 hours

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!