Jacob earns $7.25 an hour at his part-time job, and earns $9 each time he mows the lawn for his mother. He graphs the amount of hours he works at his job (x) and the number of lawns he mows (y) to determine how to earn at least $300. Which type of boundary line should he use in his graph?

He wants to win $300.

he mows the lawn y times, and he works x hours in his part time job,

Then we will have the equation:

y*$9 = amount that he wins by mowing the lawn

x*$7.25 = amount that he wins in his part time job.

Adding those, we must get $300.

y*$9 + x*$7.25 = $300.

We can isolate y and get

y = ($300 - x*$7.25)/$9 = (300/9) + x*(7.25/9)

This is the boundary line that he should use in the graph.

now, with if he works x = n hours, he can input that in this equation and find the number of times that he must mow the lawn in order to reach to the desired $300.

The graph of the line is below.

Any point in that line (in the first quadrant) is a possible way for Jacob to make the $300

Outside of the first quadrant this equation does not work, because it has negative values of y or x, and we can not have things like "negative hours of work", so we only look at the first quadrant.

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step-by-step explanation: