Modeling Real-World Problems with Inequalities

Angelo buys Takis that cost $5 for 3 bags. If Angelo has $20 to spend, how many bags can he get?

• 6 bags

• 10 bags

• 20 bags

• 12 bags

Translate into an inequality:
2 times a number is greater than 6

• 2-x<6

• 2x>6

• 2x>-6

• 2x<6

The maximum score on the pilot's test is 95 points.

• p < 95

• p > 95

• p ≥ 95

• p ≤ 95

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

• 125x + 55 ≤ 600

• 125x + 55 ≥ 600

• 125x + 55 > 600

• 125x + 55 < 600

Cody’s Gym charges a $18 fee to join and $30 per month. Tyler’s Gym charges a $50 fee to join and $20 per month. Use an inequality to determine how many months will you have to go to the gym before Tyler’s gym becomes the better deal.

• 3

• 4

• 5

• 6

Ms. Yaeger is going to Staples and can spend at most $156 on school supplies. She is buying binders that cost $5.64 and pencils that cost $1.27 per pack. Which of the following inequalities models her situation?

• 5.64x + 1.27y = 156

• 5.64x + 1.27y ≤ 156

• 5.64x + 1.27y ≥ 156

• 5.64x + 1.27y < 156

A radio station is giving away tickets to a concert. There are $10 tickets and $20 tickets. They want to give away at least 20 tickets but want to spend at most $280. Let x = the number of $10 tickets Let y = the number of $20 tickets Which system of inequalities models the situation?

The pep squad of 72nd Classical Middle School needs new skirts and shoes for an upcoming competition. A skirt cost 25 dollars and a pair of shoes costs 30 dollars. The squad has a total funding of 450 dollars. If x represents the number of skirts and y represents the number of shoes, which inequality models this situation?

• 25x + 30y > 450

• 25x - 30y ≤ 450

• 25x + 30y ≥ 450

• 25x + 30y ≤ 450

Anita is saving for college and wants to take no fewer than $3000 with her for the fall semester. Her summer job pays $9/hour. She has already saved $720. How many hours will Anita have to work during the rest of the summer to meet her goal? Select the inequality that models the situation if h represents the number of hours Anita will need to work.

Anita is saving for college and wants to take no fewer than $3000 with her for the fall semester. Her summer job pays $9/hour. She has already saved $720. How many hours will Anita have to work during the rest of the summer to meet her goal? Select the inequality that models the situation if h represents the number of hours Anita will need to work.