As a computer technician, Andre makes $20 per hour to diagnose a problem and $25 per hour to fix a problem. He works fewer than
10 hours per week, but wants to make at least $200 per week. The inequalities 20x + 25y ≥ 200 and x + y < 10 represent the situation. Which is true of the graph of the solution set? Check all that apply. The line 20x + 25y ≥ 200 has a positive slope and a negative y-intercept. The line x + y < 10 has a negative slope and a positive y-intercept. The line representing 20x + 25y ≥ 200 is solid and the graph is shaded above the line. The line representing x + y < 10 is dashed and the graph is shaded above the line. The overlapping region contains the point (4, 5).
For ax+by=c the slope is -a/b 20x+25y≥200 slope=-20/25=-4/5 negative slope
yint is where x=0 20(0)+25y≥200 25y≥200 y≥98 positive yint
x+y<10 slope=-1/1=-1 yint is where x=0 y<10 yint is at y=10
since it is equal, it is solid line to tell if it is above then sub (0,0) and see if true 0≥200 false shade on side that doesn't have (0,0), shade above line
x+y<10 doesn't have equal under so it is dashed test (0,0) 0<10 true, it is shaded below
test point (4,5)
20(4)+25(5)≥200 80+125≥200 225≥200 true
4+5<10 9<10 true
so the ones that are true are
The line x + y < 10 has a negative slope and a positive y-intercept. The line representing 20x + 25y ≥ 200 is solid and the graph is shaded above the line. The overlapping region contains the point (4, 5).
