quadratic word problems

The function f(t) = -5t²+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?

• 4 seconds

• -2 seconds

• -6 seconds

• 6 seconds

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

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 , where x is the price of each ticket.  What is the maximum profit you can make from selling tickets?

• $6060
• $20
• $600
• $10,250

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t² + 6t where h is the frog's height at any given time, t . How many seconds until the frog is back on the ground?

• 0.5 seconds

• 1 second

• 1.5 seconds

• 2 seconds

• 3 seconds

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

CCSS.HSA.REI.A.1

The quadratic equation 0 = -16t² + 80t gives the time t in seconds when a golf ball is at a height of 0 feet. How do you find how long the golf ball is in the air?

• find the y -coordinate of the maximum

• find the x-coordinate of the maximum

• find the solution

• find the zero

• Use the table to find the y-intercept

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

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? (choose carefully!)

• 10 seconds

• 64 seconds

• 960 seconds

• 2 seconds

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 , where x is the price of each ticket.  What is the maximum profit you can make from selling tickets?

• $6060
• $20
• $600
• $10,250

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the domain of the parabola created by the ball?

• Domain : 0 ≤ d ≤ 280
• Domain : 0 ≤ h ≤ 150
• Domain : 0 ≤ d ≤ 570
• Domain : 0 ≤ h ≤ 280

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

John hits a fly ball into the air. The ball reaches a maximum height of 200 ft after 4 seconds. What is a reasonable domain of the fly ball?

• All real numbers between 0 feet and 200 feet
• All real numbers between 0 feet and 400 feet
• All real numbers between 0 seconds and 4 seconds
• All real numbers between 0 seconds and 8 seconds

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

CCSS.HSF.IF.A.1

Find the range of the function

f(x) = x² + 12. (Hint: think maximum or minimum)

• y ≤ 12

• y ≥ 12

• x ≥ 0

• y > 0

Alain throws a stone off a bridge into a river below. The stone's height (in meters above the water), x seconds after Alain threw it, is modeled by:

h(x)= -5x² + 10x + 15

How many seconds after being thrown will the stone hit the water?

• -1 seconds
• 1 second
• 2 seconds
• 3 seconds

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3