Kylie volunteers at a local animal rescue center. Each week, she volunteers for at least 4 hours but no more than 8 hours. Her tasks at the rescue center include walking the dogs, which takes
1
4
of an hour per dog, and cleaning cages, which takes
1
3
of an hour per cage.
Graph a system of inequalities that represents this story. One inequality should represent the minimum number of hours Kylie volunteers, and the other inequality should represent the maximum number of hours Kylie volunteers.
Select a line to change it between solid and dotted. Select a region to shade it.
Let x be the number of dogs Kylie walks and y be the number of cages she cleans.
1/4x + 1/3y ≥ 4 (minimum of 4 hours)
1/4x + 1/3y ≤ 8 (maximum of 8 hours)
Shaded region should be between the two lines, and both lines should be solid since the minimum and maximum values are inclusive.