Step-by-step explanation:
Hi, Hope this will help:)
You can identify the lines and their colour either by
1. the y-intercepts.
First equation has a y-intercept of 3 and second has a y-intercept of 2.
So first equation is blue, and second is red.
2. the slopes
First equation has a negative slope (so blue), and second has a positive slope (so red).
Now work on each of the equations.
1. first equation (blue)
If we put x=0, we end up with the equation y≤3, the ≤ sign indicates that the region is BELOW the BLUE line.
2. second equation (red).
If we put x=0, we end up with the equation y>2, the > sign indicates that the region is ABOVE the RED line AND the red line should be dotted (full line if ≥).
So at the point, it won't be too hard to find the correct region.
To confirm, take a point definitely in the region, such as (-6,0) and substitute in each equation to make sure that both conditions are satisfied.
Let, Jason = J and M = Megan
M = J(1 + 1/4)
So putting 6 where J is and solving:
<em>M = 6(1 + 1/4)
</em><em>M= 7.5</em>
When Jason runs 6 miles Megan runs 7.5
<span />
2(2x +2y) and <span>√(4x + 4y)^2</span>