Question

I need help with this question.

Ezra works two summer jobs to save for a laptop that costs at least $1100. He charges $15/hr to mow lawns and $10/hr to walk dogs. Recall the inequality that represents this situation: 15x + 10y ≥ 1100

Is (60, 20) a solution? How do you know? What does this point represent?

Answer 1

All we need to do is plug in the values and check.
15*60 + 10 * 20 ≥ 1100.
Is this statement true?
15 * 60 = 900
20 * 10 = 200
900+200 = 1100
Is the statement 1100≥1100 true?
Yes! So, (60, 20) is a solution because 1100 is greater than or equal to 1100.

Answer 2

The coordinate pair (60, 20) is a solution because it satisfies the inequality. The coordinate pair (60, 20) is a solution because Ezra earns 60 x $15 = $900 mowing lawns and 20 x $10 = $200 walking dogs, for a total of $1100. Ezra can spend 60 hours mowing lawns and 20 hours walking dogs to earn enough money for the laptop.