Context Inequality

Question

London is working two summer jobs, making $7 per hour babysitting and making $13 per hour landscaping. In a given week, she can work no more than 14 total hours and must earn at least $130. Also, she must work at least 2 hours babysitting and no less than 8 hours landscaping. If x represents the number of hours babysitting and y represents the number of hours landscaping, write and solve a system of inequalities graphically and determine one possible solution.

Answer 1

Well

x>= 2

y >= 8

x+y <= 14

7x + 13y >= 130

So draw the lines x=2, y=8, x+y=14. On Desmos say. These will enclose an area.

Then draw the line 7x + 14y = 130.

To find one possible solution, choose a point in the area or on the perimeter of the area that is on this line or above this line.