Quadratic Word Problems

An object in 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

What will be the object's maximum height?

• 2 ft

• 80 ft

• 144 ft

• 64 ft

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.1

A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t² + 8t + 24

How high is the platform? (Hint: find y-intercept.)

• .25 ft

• 24 ft

• 25 ft

• 8 ft

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.1

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?

(Hint: Take your time looking in your table.)

• $6060

• $20

• $600

• $10,250

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.1

If each mark on the x-axis represents one second, when did the object reach the ground?

• 2.5 seconds

• 6 seconds

• 5.5 seconds

• 5 seconds

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Find the vertex of y = -x² - 4x + 12.

Remember to use your table!

• (-2, 16)

• (-2, 14)

• (2, 4)

• (-2, 4)

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
 h = -16t² + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?

• 10 seconds
• 64 seconds
• 960 seconds
• 2 seconds

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

• 1

• 3

• 48

• 64

• 72

Tags

CCSS.HSA.REI.B.4

• 1

• 3

• 48

• 64

• 72

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

• 2.25

• 5.5

• 11

• 21.1

• 24.3

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

• 1.25

• 3

• 4

• 5
  

• 6.13
  

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1