Modeling with Systems of Linear Inequalities — Unit test Answers

A rectangular bird feeder costs $18.00. A cylindrical bird feeder costs $24.00. The expected cost to keep the rectangular bird feeder filled is $3.00 per week. The expected cost the keep the cylindrical bird feeder filled is $2.00 per week. The equation below models the break-even point.18 + 3x = 24 + 2x What does x represent?

Dwayne is selling hamburgers and cheeseburgers. He has 100 burger buns. Each hamburger sells for $3, and each cheeseburger sells for $3.50. Which system of inequalities represents the number of hamburgers, h, and the number of cheeseburgers, c, he must sell to have sales of at least $80?

y = 5x + 23x = –y + 10

The questions in the first section on a test are worth 3 points and the questions in the second section are worth 5 points. Let x represent the number of correct questions from the first section, and let y represent the number of correct questions from the second section. Sydney earned more than 80 points on the test. The inequality representing her score is 3x+5y>80.

2x + 4y = 12y = x – 3

Which statements about the system are true? Select two options.y = x – 43y – x = –7The system has one solution. The system consists of parallel lines.Both lines have the same slope. Both lines have the same y–intercept.The equations represent the same line.

The members of the drama club have 100 tickets to sell to the school play. Students pay $5 per ticket, and nonstudents pay $10 per ticket. The drama club needs to collect at least $800 in total ticket sales. The system of inequalities represents the number of student tickets, s, and the number of nonstudent tickets, n, the members must sell. s + n ≤ 1005s + 10n ≥ 800

Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown.Shop Shawn used: y=10+3.5xShop Dorian used: y=6x

The system of inequalities in the graph represents the change in an account, y, depending on the days delinquent, x.

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.

A system of equations has infinitely many solutions. If 2y – 4x = 6 is one of the equations, which could be the other equation?

Martin has a combination of 33 quarters and dimes worth a total of $6. Which system of linear equations can be used to find the number of quarters, q, and the number of dimes, d, Martin has?

Before any dinner service, the manager confirms when the number of reservations at a restaurant is subtracted from twice the number of loaves of bread on hand must be greater than 5. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?

What is the solution to the system of equations?y = 2x – 3.5x – 2y = –14

Ori needed at least $1.47 in postage to mail an envelope to his cousin overseas. If x represents the number of $0.44 cent stamps he has and y represents the number of $0.10 cent stamps he has, the inequality representing the number of stamps he can use to mail the envelope is 0.44x+0.10y≥1.47.