Answer:
To meet her goal, Noelle must run more than the rest of the month
Step-by-step explanation:
Let
h-------> the number of hours Noelle runs for the rest of the month
we know that
The inequality that represent the situation is
Solve for h
Subtract 10 both sides
Divide by 5 both sides
You can rewrite the inequality as
Note that
is the equation of the line drawn in the pictures. This means that, for every point on the line, the y coordinate is exactly image of the x coordinate, i.e.
The inequality is satisfied by all points whose y coordinate exceeds the image of the x coordinate. Since the y axis is positively oriented upwards, a greater value for the y coordinate means that the point has to be higher than the line.
Also, since the equality inlves a and not a
sign, the line itself is excluded.
So, the correct graph is the second one.