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jaquez earns money by doing yard work. it takes her an average of 3 hours to pull
weeds and an average of 2.5 hours to mow the lawn. she can work no more than 8
hours a day. she charges $50 to weed and $65 to mow the lawn. she needs to cover
her expenses of $120 to make a profit. write a system of inequalities that would
determine how many flowerbeds and lawns he could complete on a given day. (note -
you do not need to solve, just write the system and label the variables you use).

P(x) is 50 x + 65 y ≥ 120 is his profit function to maximize.

Step-by-step explanation:

Let Jaquez works x hours in pulling weeds per day.

And y hours in mowing the lawn per say.

Also, Charge per hour of weed pulling = $ 50

      and charge per hour of lawn mowing is $65

So, now according to the question, the system of equation is

x ≥ 3

y ≥ 2.5

x + y ≤  8

50 x + 65 y ≥ 120

So as to maximize his profit he can maximize his profit function P(x).

Here, P(x) is 50 x + 65 y ≥ 120

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3

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