Respuesta :
Let x be the number of hours to bake chocolate chip cookies.
Let y be the number of hours to bake snickerdoodles.
They only have up to six hours to bake (means equal or less than 6)
[tex]x+y\le6\quad eq.1[/tex]They can bake 32 chocolate chips in an hour(x) and 20 snickerdoodles in an hour(y) and also they need to make at least a hundred fifty cookies. (at least means equal or greater than)
[tex]32x+20y\ge150\quad eq.2[/tex]Now let us substitute each of the given options into the above two inequalities and check which option satisfies them
Option A: (x, y) = (5, 1)
[tex]\begin{gathered} x+y\le6 \\ 5+1\le6 \\ 6\le6\quad \text{pass} \end{gathered}[/tex][tex]\begin{gathered} 32(5)+20(1)\ge150 \\ 160+20\ge150 \\ 180\ge150\quad \text{pass} \end{gathered}[/tex]As you can see option A satisfies both of the inequalities therefore, option A is a valid selection.
Note: You can try other options and you will notice that none of them will satisfy both inequalities.
