Answer-
Graph 1 represents the amounts of time Norman can spend drawing and using the computer.
Solution-
Taking,
x = Drawing time (in minutes)
y = Computer time (in minutes)
Norman wants to spend some time drawing and using the computer before dinner, which will be ready in 45 minutes or less. i.e
[tex]x+y\leq 45[/tex]
Taking a point origin (0, 0), and putting it in the equation,
[tex]\Rightarrow 0+0\leq 45\\\\\Rightarrow 0\leq 45[/tex]
As it satisfies the equation, so the shaded region will be towards origin.
Norman wants to spend at least 25 minutes drawing. i.e
[tex]x\geq 25[/tex]
Taking a point origin (0, 0), and putting it in the equation,
[tex]0\ngeqslant 25[/tex]
As it does not satisfy the equation, so the shaded region will be to the opposite to origin.
Plotting the graph, the correct option is A.
