Systems of Inequalities

Front

Write the system of inequalities for Eiko's drawing scenario at the fair.

Back

10x + 25y ≥ 200; 15x + 45y ≤ 480

Front

Cullin needs to save at least $100 for homecoming. He works 2 jobs earning $8/hour at Culvers and $25/hour mowing lawns. He only has time to work 14 hours before homecoming. What are the constraints?

Back

8x + 25y ≥ 100
x + y ≤ 14

Front

Cole needs to score at least 20 points in less than 10 shots. If x is the number of 2-point shots, and y is the number of 3-point shots, which inequalities represent the situation?

Back

x + y < 10, 2x + 3y ≥ 20

Front

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation? Options: x + y = 6, 14.80x + 17y = 91, x + y = 91, 14.80x + 17y = 6, x + y = 6, 14.80y + 17x = 91, x + y = 91, 14.80x+ 17y = 6

Back

x + y = 6, 14.80x + 17y = 91

Front

Write the inequalities: y≥-2x+3, y≤x-3, y>2x+3, y≥x-3, y>-2x+3, y≥x-3, y<-2x+3, y≤x-3

Back

y>-2x+3, y≥x-3

Front

Write the system of inequalities for a theater with 300 seats, charging $7.50 for adults and $5.50 for children, expecting to make at least $2000 per showing.

Back

x+y≤300
7.5x+5.5y≥2000

Front

Write the system of inequalities for Eiko's drawing caricatures at a fair for 8 hours (480 minutes). She can complete a small drawing in 15 minutes and charges $10 for the drawing. She can complete a larger drawing in 45 minutes and charges $25 for the drawing. Eiko hopes to make at least $200 at the fair.

Back

10x+25y≥200
15x+45y≤480

Front

JoAnn's work hours and earnings: b + t < 15, 3b + 6t > 66

Back

JoAnn can work a combination of baby-sitting and tutoring hours such that the total hours are less than 15 and her earnings are more than $66 per week.

Front

Cullin needs to save at least $100 for homecoming. He works 2 jobs earning $8/hour at Culvers and $25/hour mowing lawns. He only has time to work 14 hours before homecoming.

Back

8x + 25y ≥ 100
x + y ≤ 14

Front

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

Back

1.5x+0.5y=78.5
x+y=87