Answer:
Option 1
Step-by-step explanation:
Let x be the no. of small tub popcorn.
Let y be the number of large tub popcorn.
She needs to buy at least 7 tubs of popcorn
So, equation becomes : [tex]x+y\geq 7[/tex] --1
Cost of 1 small tub of popcorn = $3
Cost of x small tub of popcorn = $3x
Cost of 1 large tub of popcorn = $4
Cost of y large tub of popcorn = $4y
Now we are also given that she only has $24 in her wallet.
So, equation becomes : [tex]3x+4y\leq 24[/tex] --2
Now
[tex]x+y\geq 7[/tex] ---blue line in the given graphs
At(0,0)
[tex]0+0\geq 7[/tex] False .
So, region bounded by this line is away from origin
[tex]3x+4y\leq 24[/tex] -- red line in the given graphs
At(0,0)
[tex]3(0)+4(0)\leq 24[/tex]
[tex]0+0\leq 24[/tex] True
So, region bounded by this line is towards origin
So, in the given graphs Option 1 Satisfies the obtained conditions.
So Option 1 is true.