Question

question 1 - 6
you have 2 hours to do homework tonight
you spend x hours on math.
you spend y hours on science.
a graph shows the inequality: x + y ≤ 2
what does a point in the shaded area of the graph mean?
the point represents values for x and y which indicate that you spent more than 2 hours on homework
the point represents values for x and y which indicate that you finished your homework in 2 hours or less.
the point represents values for x and y which indicate that you did exactly 2 hours of math and 2 hours of science.
the point represents values for x and y which indicate that you did more than 4 hours of studying for both courses

Explanation:

The inequality $x + y\leq2$ represents the total time $x$ (math - homework time) and $y$ (science - homework time) spent on homework is 2 hours or less. Points in the shaded area of the graph of this inequality satisfy the inequality. So, these points represent combinations of $x$ and $y$ values where the total time spent on homework is 2 hours or less.

Answer:

The point represents values for $x$ and $y$ which indicate that you finished your homework in 2 hours or less.