Please help It is down below.

Question

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?

Answer 1

Graph lawns on the vertical axis, hours at the part time job on the horizontal axis

connect the two points (0,L) = (0,33 1/3) and (P,0) = (41.44,0) with a straight line

Every point on the line is a combination of the two jobs that give $300 total

300/7.25 = 41.44

300/9 = 33.33...

7.25P + 9L > 300

He could easily work 41.44 hours per week, although it would then be full time

He probably couldn't mow his mother's lawn 33 1/3 times, at least not in a matter of a few months. Grass doesn't grow fast enough.

The boundaries are the x-axis, y-axis and the line 7.25P +9L=300. Although practical considerations of a maximum number of lawns or hours would limit it further.

Any point above that line, to the right of the y axis and above the x axis will get more than $300

Any point below that line, inside the triangle formed by the line, y and x axes will get less than $300

Any point on the line gets exactly $300