Aunt polly is baking muffins at a speed of 4 muffins per minute. tom comes into the kitchen when aunt polly has 12 muffins, and begins to eat these muffins at a speed of 6 muffins per minute. when he finally leaves the kitchen, there are 4 muffins at the table. how long did tom stay in the kitchen?

Step-by-step explanation:

4 mins to clear the table

He eats existing 12 muffins is 2 mins by then 8 muffins are baked, another minute to eat 6 muffins and by then there are 4 more muffins totalling to 6. He finishes that in another min (4 mins) and leaves but aunt placed 4 more on the table after he left.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!