At a local grocery store, the deli counter has bologna on sale for
per pound with a limit of 1.82 pounds per customer. If represents the
total cost for buying pounds of bologna, then which set of
compound inequalities below represents the domain and range of this
situation?

and
and
and

The situation describes a limit on the pounds of bologna a customer can buy, which is 1.82 pounds. If we denote the total cost based on the weight in pounds, then the total cost can be calculated as . Thus, for in the range of to , the corresponding values of will be , since buying the maximum allowed will yield that maximum cost!

So, the correct set of compound inequalities representing the domain and range here would be and .

If you’re still grappling with inequalities, think of them like a playground with fences! The fences ensure that the children (representing our variables) can only roam within certain boundaries. For bologna, our kids can’t go over 1.82 pounds at the deli counter, and the total cost can’t jump over $4.66 either. Staying within these bounds is key to enjoying the bologna without overspending!