Two-Variable Linear Inequalities

Question 1

Ezra works two summer jobs to save for a laptop that costs at least $1100. He charges $15/hr for lawn care and $10/hr to walk dogs. Let x represent the hours he spends on lawn care and y represent the hours he spends walking dogs. Which inequality represents this situation?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-02-11-25-01-task/mc001-4.jpg

Question 2

Select all of the following ordered pairs that are solutions to the inequality.

Revolt · Accepted Answer

(20, 80); (80, 20); (80, 0)

Question 3

To see how the solution set changes, suppose the coordinate pair (a, b) satisfies the original inequality. If a stays the same, b must be less thanequal to✔ greater than its previous value to satisfy the new inequality.

Revolt · Accepted Answer

✔ greater than

Question 4

Now suppose b stays the same. Then, a must be less thanequal to✔ greater than its previous value to satisfy the new inequality.

Revolt · Accepted Answer

✔ greater than

Question 5

If Ezra works less than or equal to 50 hours doing lawn care, he must spend at least hours walking dogs.

Revolt · Accepted Answer

35

Question 6

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: Explain how to graph the solution set.

Revolt · Accepted Answer

This point represents Ezra working 60 hours mowing lawns and 20 hours walking dogs, earning exactly $1100, which is enough to purchase the laptop.

Question 7

=✔ ><=

Revolt · Accepted Answer

✔ >

Question 8

How is the graph of the solution affected?

Revolt · Accepted Answer

The boundary line becomes dashed.; The boundary line is translated vertically.

Question 9

Which of the following did you include in your explanation?

Revolt · Accepted Answer

The limitations on y-values changed from nonnegative multiples of one-half to whole numbers, since Ezra cannot walk a fractional number of dogs.

Question 10

Ezra works two summer jobs to save for a laptop that costs at least $1100. He considers adjusting his rates to the following:Lawn care: $250 per lawn for the summerDog walking: $300 per dog for the summerWhich inequality represents this situation?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-02-11-25-06-task/mc001-2.jpg

Two-Variable Linear Inequalities Answers

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