Linear and Quadratic System Word Problems

You and some friends went to a haunted house on Halloween. The mummy scared one friend so much that she jumped into the air! The equation h = -4t² + 2t models her jump where h is her jump's height in feet t seconds after the mummy scares her. When did she reach her maximum height?

• 0.1 seconds

• 0.25 seconds

• 0.50 seconds

• 1 second

• 2 seconds

Find the solution.

• (56,7) and (25,1)

• (35,2) and (-12, 15)

• (15,89) and (2,-2)

• (30,4) and (-45, 5)

Tags

CCSS.HSA.REI.C.7

Find the solution.

• (4,2) and (0,9)

• (-4,-1) and (2,5)

• (5,3) and (5,2)

• (-4,2) and (5,9)

Tags

CCSS.HSA.REI.C.7

An object is launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation

s(t) = –16t² + 64t + 80

• Linear

• Quadratic

• Exponential

• Other

A rectangle has an area of 24 square units. The width is 5 units less than the length. What is the length, in units, of the rectangle?

• Linear

• Quadratic

• Exponential

• Other

Bob has $150 in his savings account and saves $40 per month.  Which equation represents the amount Bob has in his account after x months?

• Linear

• Quadratic

• Exponential

• Other

A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?

• Linear

• Quadratic

• Exponential

• Other

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

• Linear

• Quadratic

• Exponential

• Other

Jerry has $20 and makes $7 per hour. Which equation represents the total amount of money Jerry has after working x hours?

• Linear

• Quadratic

• Exponential

• Other

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