## you are allowed to work a total of no more than 30 hours each week at your two jobs. Lawn mowing pays \$5 per hour and babysitting pays \$8 pe

Question

you are allowed to work a total of no more than 30 hours each week at your two jobs. Lawn mowing pays \$5 per hour and babysitting pays \$8 per hour. You need to earn at least \$300 per week. You decide to write a system of inequalities to help determine the amount of time you can work at each job, where x represents the number of hours you mow lawns y represents the number of hours you babysit. You write the first inequality as x+y<30. Write the second inequality you would use for this system .

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2 months 2021-10-14T21:28:29+00:00 2 Answers 0 views 0

5X + 8Y >= 300;    intersection at  (-20, 50)

Step-by-step explanation:

let t = work hours

0 < t < 30

X = time lawn mowing

Y = time babysitting.

X + Y < 30

5X + 8Y >= 300

We could solve…

X < 30 – Y

5(30 – Y) + 8Y  >=300

150 – 5Y + 8Y >= 300

3Y >=150

Y >=50

then  X < -20

intersection at  (-20, 50)