AnswersDRHS-GA-Algebra Concepts and Connections AModeling with Two-Variable Linear Inequalities

Modeling with Two-Variable Linear Inequalities Answers

8 verified answers1 views
1
Free Preview

A manufacturing machine has two processes. One of them is repeated 4 times and the second only once. The entire cycle can take no longer than 3 minutes. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?

A
On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the right of the line is shaded.
Option A
B
On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the left of the line is shaded.
Option B
C
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the right of the line is shaded.
Option C
D
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the left of the line is shaded.
Option D
2
Free Preview

Lola bought x pencils that cost $0.25 each and y erasers that cost $0.50. She spent less than $3. Which graph represents Lola’s purchase?

A
Option
B
Option
C
Option
D
Option
3

At lunch, Kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium. Her doctor told her to reduce her sodium to no more than 4,000 milligrams per week. Which inequality represents x, the number of microwave burritos, and y, the number of peanut butter sandwiches, she can eat each week?

A
490x + 700y < 4000
B
490x + 700y ≤ 4000
C
490x + 700y > 4000
D
490x + 700y ≥ 4000
4

A grocery bag contains x apples, each weighing of a pound, and y pounds of grapes. The total weight of the grocery bag is less than 5 pounds. Which graph represents the possible numbers of apples and pounds of grapes that can be in the bag?

Question illustration
A
Option
B
Option
C
Option
D
Option
5

Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time he swims. This week, he spent more than 6 hours training for the race. Which graph represents his possible training times this week?

A
Option
B
Option
C
Option
D
Option
6

One company estimates same-day delivery as more than three less than half the total number of miles. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)? Note that the graphs have miles for the independent variable on the x-axis, and the y-axis is a unit of time dependent on the number of miles.

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

Dan bought x pounds of potatoes for $0.85 per pound and y pounds of grapes for $1.29 per pound. The total cost was less than $5. Which inequality represents his purchase?

A
1.29x + 0.85y < 5
B
1.29x + 0.85y > 5
C
0.85x + 1.29y > 5
D
0.85x + 1.29y < 5
8

Jamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?

A
x + y < 45
B
x + y > 45
C
x + y ≤ 45
D
x + y ≥ 45
9

Last year, Jess saw x dramas and y comedies at the movie theater. If she went to the theater no more than 8 times, which inequality best represents the number of movies she saw?

A
x + y < 8
B
x + y > 8
C
x + y ≤ 8
D
x + y ≥ 8
10

On a final exam, each multiple-choice question is worth 4 points and each word problem is worth 8 points. Lorenzo needs at least 50 points on the final to earn a "B" in the class. Which inequality represents x, the number of correct multiple-choice questions, and y, the number of correct word problems, he needs to earn a "B"?

A
4x + 8y < 50
B
4x + 8y ≤ 50
C
4x + 8y > 50
D
4x + 8y ≥ 50

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Solving Systems of Linear Inequalities

Quiz
9 verified answers

Solving Systems of Linear Inequalities

Quiz
8 verified answers

Modeling with Two-Variable Linear Inequalities