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. Which type of boundary line should be used in the graph?HELP!

so he would get 33.33 day so we will just say 33 times to get 300 dollars if he gets $9 for mowing. And 41.37 hours to get $300 and he would have to use x and y graph to find the boundary line.

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ibiscollingwood ibiscollingwood · Answer 2 · 2021-11-26T05:02:16+01:00

Linear programming is a mathematical method that is used to determine the best possible outcome or solution from a given set of parameters or list of requirements,

Here, graph is attached in which boundary line is shown to earn more than $300 .

Let us consider that, Austin spend x hours in part time job and y times in mowing lawns.

Since, Austin earns $9.75 an hour at a part-time job,

In x hours, Austin earns = 9.75 x

Since, Austin also earns $12 each time mowing lawns

So, if he mowing lawns y times. he earns = 12y

Total earning = 9.75x + 12y

Since, Austin Austin wants to earn more than $300

Therefore, 9.75x + 12y > 300

Thus, boundary line for above equation shown in attached graph.

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