Maximum and Minimum Word Problems

The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function: p= -15x² +600x +60 What is the maximum profit you can make from selling tickets?

• $6060

• $20

• $600

• $10,250

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t² + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

• 1 foot

• 5 feet

• 7 feet

• 8 feet

• 12 feet

The function h(t) = -16t² + 64t models the approximate height "h" of an object "t" seconds after it is launched into the air. How many seconds will it take for the object to reach it's maximum height? (Only enter the number)

The function h(t) = -5t² + 120t models the approximate height "h" of an object "t" seconds after it is launched into the air. What was the maximum height the object reached. How many seconds will it take for the object to reach it's maximum height? (Only put the number)

If the function h(t) = -16t² + 160t represents the relationship between the height "h" of an object "t" seconds after it is launched, how many seconds will it take for the object to reach it's maximum height?

What are the coordinates of the vertex? Is it a maximum or a minimum?

• (2, 3); minimum

• (2, 5); maximum

• (2, 3); maximum

• (2, -3); minimum

• (2, -3); maximum

Answer explanation

The function h(t) = -3t² + 12t + 4 models the approximate height "h" of an object "t" seconds after it is launched into the air. How high off the ground was the object launched to begin with? (Only enter the number)

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

• 5x + 10 ≥ 100

• 5x - 100 ≥ 10

• 10x + 5 ≤ 100

• 5x + 10 > 100

Tags

CCSS.7.EE.B.4B

Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?

• 20x + 120 ≥ 3

• x/3 + 20 ≤ 120

• 3x + 20 ≤ 120

• 3x + 20 ≥ 120

Tags

CCSS.7.EE.B.4B

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