Quadratics & Story 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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

A ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function :

h(t) = -16t² + 40t + 10

How many seconds does it take the ball to reach its maximum height?

• 1.25 seconds

• 1.4 seconds

• 2.5 seconds

• 2 seconds

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

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.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

At what height does the king release the coin?

• 0 feet

• 5 feet

• 9 feet

• 10 feet

FILL IN THE BLANKS. This shape of graph is called a _______ because this function is ________.

• quadratic; parabola

• parabola; quadratic

• curve; exponential

• line; linear

Tags

CCSS.HSF-IF.C.7A

What is the maximum height the coin will reach?

• 0 feey

• 5 feet

• 9 feet

• 10 feet

When will the coin reach it's maximum height?

• 0 seconds

• 4 seconds

• 8 seconds

• 10 seconds

After 8 seconds, how high is the coin?

• 0 feet

• 5 feet

• 8 feet

• 10 feet

When will the coin reach the ground?

• 0 seconds

• 4 seconds

• 8 seconds

• 10 seconds

What is the coin's height when it reaches the ground?

• 0 feet

• 5 feet

• 8 feet

• 10 feet