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

D:

Question 2

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 3

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 4

<>=✔ ><=

Revolt · Accepted Answer

C: ✔ >

Question 5

How is the graph of the solution affected?

Revolt · Accepted Answer

A: The boundary line becomes dashed.; C: The boundary line is translated vertically.

Question 6

Which of the following did you include in your explanation?

Revolt · Accepted Answer

A: 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 7

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

B:

Question 8

Which of the following did you include in your answer?

Revolt · Accepted Answer

A: Graph in the first quadrant because x and y are nonnegative.

Question 9

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

Revolt · Accepted Answer

C: (20, 80); D: (80, 20); E: (80, 0)

Question 10

Which of the following did you include in your solution?

Revolt · Accepted Answer

A: The coordinate pair (60, 20) is a solution because it satisfies the inequality .

Two-Variable Linear Inequalities Answers

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