Question

Austin earns 9.75 an hour at a part time job and earns $12 each time mowing lawns in the neighborhood. They graph the amount of hours worked at the part time job (X) and the number of lawns mowed (Y) to determine how to earn more than $300. What type of boundary line should be used in the graph

Answer 1

Answer: Dashed boundary line

Step-by-step explanation:

The key word to focus on is "more than" which is the same as "greater than". Neither of which involves "or equal to", so we do not include points on the boundary. A dashed line can be thought of as an electric fence that you can get closer and closer to, but can't touch it.

If Austin wanted to involve a solid boundary line, then the "more than" needs to be changed into something like "at least". In other words, if he wanted to earn at least $300, then we'll include points on the boundary and have a solid boundary. As you can probably guess, "he earns at least $300" means "he earns $300 or more".