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 .

Answer 1

Explanation:

5x+8y > 300

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Answer 2

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

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)