Math 1 · Unit 5 · Lesson 4 · part 3 of 6
Whole things only: the region becomes dots
Unit 2 asked one question before connecting dots: can the input be any number, or only whole things?
Whole things only: the region becomes dots
Unit 2 asked one question before connecting dots: can the input be any number, or only whole things? The same question comes back here. You cannot buy 2.5 hot dogs. If both x and y must be whole numbers, then only the whole-number points in the region count, and the real answer is a set of dots, not a solid patch. The shaded half-plane is still the right picture of the rule; the dots are the combinations that actually exist.
Continuous constraintPounds of apples, hours of work, gallons of paint. Any point in the region is a real combination. Solid shading.
Discrete constraintHot dogs, tickets, people, cars. Only whole-number points count. Dots inside the region.
Both in one storyHours of babysitting (any number) and yards mowed (whole). Then only one variable snaps to whole numbers.